Atkin-Lehner |
5+ 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
3115b |
Isogeny class |
Conductor |
3115 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
2086806640625 = 510 · 74 · 89 |
Discriminant |
Eigenvalues |
1 0 5+ 7- 0 -4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3410,33175] |
[a1,a2,a3,a4,a6] |
j |
4385897588651769/2086806640625 |
j-invariant |
L |
1.4729703379163 |
L(r)(E,1)/r! |
Ω |
0.73648516895814 |
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 |
49840i1 28035k1 15575a1 21805h1 |
Quadratic twists by: -4 -3 5 -7 |