Atkin-Lehner |
2- 3- 5+ 29- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
122670bs |
Isogeny class |
Conductor |
122670 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
811008 |
Modular degree for the optimal curve |
Δ |
7427616193512000 = 26 · 38 · 53 · 29 · 474 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -2 0 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-159728,-24178413] |
[a1,a2,a3,a4,a6] |
j |
618211096465830841/10188773928000 |
j-invariant |
L |
2.8685985953316 |
L(r)(E,1)/r! |
Ω |
0.23904987094496 |
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 |
40890j1 |
Quadratic twists by: -3 |