Atkin-Lehner |
2+ 5+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
105710c |
Isogeny class |
Conductor |
105710 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1351680 |
Modular degree for the optimal curve |
Δ |
-21305768367558400 = -1 · 28 · 52 · 112 · 317 |
Discriminant |
Eigenvalues |
2+ 2 5+ -4 11+ 4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,49472,5622528] |
[a1,a2,a3,a4,a6] |
j |
15087533111/24006400 |
j-invariant |
L |
1.0435635972182 |
L(r)(E,1)/r! |
Ω |
0.2608910256682 |
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 |
3410a1 |
Quadratic twists by: -31 |