def __call__(self, r, base_at_infinity=True):
r"""
Evaluates the modular symbol at {0,`r`} or {oo,`r`}.
EXAMPLES::
sage: m = EllipticCurve('11a1').modular_symbol(implementation="eclib")
sage: m(0)
1/5
"""
from sage.rings.rational import Rational
if r != oo:
r = Rational(r)
r = r.numer() % r.denom() / r.denom()
return self._modsym(r, sign=self._sign, base_at_infinity=base_at_infinity) * self._scaling
def __call__(self, r, base_at_infinity=True):
r"""
Evaluates the modular symbol at {0,`r`} or {oo,`r`}.
EXAMPLES::
sage: m = EllipticCurve('11a1').modular_symbol(implementation="eclib")
sage: m(0)
1/5
"""
from sage.rings.rational import Rational
if r != oo:
r = Rational(r)
r = r.numer() % r.denom() / r.denom()
return self._modsym(r, sign=self._sign, base_at_infinity=base_at_infinity) * self._scaling
def __call__(self, r):
r"""
Evaluates the modular symbol at `r`.
EXAMPLES::
sage: m = EllipticCurve('11a1').modular_symbol(use_eclib=True)
sage: m(0)
1/5
"""
# this computes {0,oo} - {0,r} = {r,oo}
from sage.rings.rational import Rational
if r != oo:
r = Rational(r)
r = r.numer() % r.denom() / r.denom()
return (self._atzero - self._modsym(r)) * self._scaling
def __call__(self, r):
r"""
Evaluates the modular symbol at `r`.
EXAMPLES::
sage: m = EllipticCurve('11a1').modular_symbol(implementation="eclib")
sage: m(0)
1/5
"""
# this computes {0,oo} - {0,r} = {r,oo}
from sage.rings.rational import Rational
if r != oo:
r = Rational(r)
r = r.numer() % r.denom() / r.denom()
return (self._atzero - self._modsym(r))*self._scaling