Atkin-Lehner |
2- 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
55616r |
Isogeny class |
Conductor |
55616 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
156614656 = 214 · 112 · 79 |
Discriminant |
Eigenvalues |
2- -1 -1 -1 11+ -1 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-241,-1231] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:11:1] [-7:8:1] |
Generators of the group modulo torsion |
j |
94875856/9559 |
j-invariant |
L |
7.4959581716695 |
L(r)(E,1)/r! |
Ω |
1.2191473142358 |
Real period |
R |
0.76856566923229 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55616n1 13904g1 |
Quadratic twists by: -4 8 |