Atkin-Lehner |
3- 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
76725n |
Isogeny class |
Conductor |
76725 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
9030772265625 = 37 · 58 · 11 · 312 |
Discriminant |
Eigenvalues |
1 3- 5+ 2 11+ 4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6192,-117909] |
[a1,a2,a3,a4,a6] |
j |
2305199161/792825 |
j-invariant |
L |
4.4261555598216 |
L(r)(E,1)/r! |
Ω |
0.5532694448956 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25575l1 15345c1 |
Quadratic twists by: -3 5 |