Atkin-Lehner |
2- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
94640ci |
Isogeny class |
Conductor |
94640 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1010880 |
Modular degree for the optimal curve |
Δ |
-772007554354400000 = -1 · 28 · 55 · 7 · 1310 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 3 13+ 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,228488,4455516] |
[a1,a2,a3,a4,a6] |
Generators |
[302:10050:1] |
Generators of the group modulo torsion |
j |
37380096/21875 |
j-invariant |
L |
6.6702303965069 |
L(r)(E,1)/r! |
Ω |
0.17183629128495 |
Real period |
R |
3.8817355380974 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015517 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23660i1 94640cb1 |
Quadratic twists by: -4 13 |