Atkin-Lehner |
2+ 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76440h |
Isogeny class |
Conductor |
76440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10475520 |
Modular degree for the optimal curve |
Δ |
2.6804729157319E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 13+ 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-55133276,155605284276] |
[a1,a2,a3,a4,a6] |
j |
211072197308055014773168/3052652281946850375 |
j-invariant |
L |
1.7686201883694 |
L(r)(E,1)/r! |
Ω |
0.098256679771717 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76440bo1 |
Quadratic twists by: -7 |