Atkin-Lehner |
2+ 3- 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
122010x |
Isogeny class |
Conductor |
122010 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2359296 |
Modular degree for the optimal curve |
Δ |
2880976363560960000 = 216 · 3 · 54 · 710 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-363753,21451756] |
[a1,a2,a3,a4,a6] |
j |
45243220068999289/24487895040000 |
j-invariant |
L |
1.7749327891456 |
L(r)(E,1)/r! |
Ω |
0.22186669288227 |
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 |
17430b1 |
Quadratic twists by: -7 |