Atkin-Lehner |
2- 3- 7- 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
70434bo |
Isogeny class |
Conductor |
70434 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
1867776 |
Modular degree for the optimal curve |
Δ |
9768684167424 = 28 · 37 · 74 · 132 · 43 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9814586,11837121401] |
[a1,a2,a3,a4,a6] |
Generators |
[2133:-25637:1] |
Generators of the group modulo torsion |
j |
143420785551514727611993/13400115456 |
j-invariant |
L |
9.7616809562277 |
L(r)(E,1)/r! |
Ω |
0.40728203220934 |
Real period |
R |
1.4979915916175 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001602 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
23478r1 |
Quadratic twists by: -3 |