Atkin-Lehner |
2- 3+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
95316c |
Isogeny class |
Conductor |
95316 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
677376 |
Modular degree for the optimal curve |
Δ |
44785261096033536 = 28 · 33 · 1310 · 47 |
Discriminant |
Eigenvalues |
2- 3+ -1 -3 3 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-88781,-18903] |
[a1,a2,a3,a4,a6] |
Generators |
[-18716:58981:64] |
Generators of the group modulo torsion |
j |
62630895616/36243909 |
j-invariant |
L |
3.7923051814721 |
L(r)(E,1)/r! |
Ω |
0.30361242183606 |
Real period |
R |
6.2453063828625 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999972191 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7332a1 |
Quadratic twists by: 13 |