Atkin-Lehner |
2+ 5- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
69290h |
Isogeny class |
Conductor |
69290 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
135014729058560 = 28 · 5 · 137 · 412 |
Discriminant |
Eigenvalues |
2+ 2 5- 0 2 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-383802,91357076] |
[a1,a2,a3,a4,a6] |
j |
1295349813487729/27971840 |
j-invariant |
L |
2.155353328987 |
L(r)(E,1)/r! |
Ω |
0.53883832966825 |
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 |
5330c1 |
Quadratic twists by: 13 |