Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
77616fi |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-891335047491504 = -1 · 24 · 316 · 76 · 11 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11+ -6 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34104,-2817745] |
[a1,a2,a3,a4,a6] |
j |
-3196715008/649539 |
j-invariant |
L |
0.34751780862961 |
L(r)(E,1)/r! |
Ω |
0.17375891356324 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19404z1 25872bz1 1584m1 |
Quadratic twists by: -4 -3 -7 |