Atkin-Lehner |
7+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
64757f |
Isogeny class |
Conductor |
64757 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
142680 |
Modular degree for the optimal curve |
Δ |
38518973797997 = 7 · 11 · 298 |
Discriminant |
Eigenvalues |
0 2 -2 7+ 11- 1 -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-16259,-734606] |
[a1,a2,a3,a4,a6] |
Generators |
[-28984:17405:512] |
Generators of the group modulo torsion |
j |
950272/77 |
j-invariant |
L |
5.1843989058459 |
L(r)(E,1)/r! |
Ω |
0.42496465251642 |
Real period |
R |
4.0665334358586 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000574 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64757a1 |
Quadratic twists by: 29 |