Atkin-Lehner |
2+ 3+ 7- 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
34314b |
Isogeny class |
Conductor |
34314 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
225792 |
Modular degree for the optimal curve |
Δ |
21745157606928 = 24 · 37 · 72 · 193 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 0 4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-312914,-67503132] |
[a1,a2,a3,a4,a6] |
j |
3388448297954440447273/21745157606928 |
j-invariant |
L |
1.6148540595893 |
L(r)(E,1)/r! |
Ω |
0.20185675744798 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102942bn1 |
Quadratic twists by: -3 |