Atkin-Lehner |
2- 3- 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
121200di |
Isogeny class |
Conductor |
121200 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
576000 |
Modular degree for the optimal curve |
Δ |
2635284558643200 = 232 · 35 · 52 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 2 2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-72328,7043828] |
[a1,a2,a3,a4,a6] |
j |
408647765658865/25735200768 |
j-invariant |
L |
4.4766602932442 |
L(r)(E,1)/r! |
Ω |
0.44766597649339 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15150e1 121200ct1 |
Quadratic twists by: -4 5 |