Atkin-Lehner |
2- 5+ 7+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
7070d |
Isogeny class |
Conductor |
7070 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
58368 |
Modular degree for the optimal curve |
Δ |
7602534700929280 = 28 · 5 · 78 · 1013 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ -2 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-94518,10391621] |
[a1,a2,a3,a4,a6] |
j |
93381957744183968049/7602534700929280 |
j-invariant |
L |
1.6294672641884 |
L(r)(E,1)/r! |
Ω |
0.40736681604711 |
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 |
56560i1 63630s1 35350g1 49490q1 |
Quadratic twists by: -4 -3 5 -7 |