Atkin-Lehner |
2- 3- 5+ 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
104130bo |
Isogeny class |
Conductor |
104130 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
319488 |
Modular degree for the optimal curve |
Δ |
4385955600 = 24 · 36 · 52 · 132 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 13- 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-70493,-7186219] |
[a1,a2,a3,a4,a6] |
j |
53140836723628681/6016400 |
j-invariant |
L |
2.3439780873599 |
L(r)(E,1)/r! |
Ω |
0.29299724756983 |
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 |
11570c1 |
Quadratic twists by: -3 |