Atkin-Lehner |
2- 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
61920bp |
Isogeny class |
Conductor |
61920 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
14149935489600 = 26 · 314 · 52 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20973,-1154972] |
[a1,a2,a3,a4,a6] |
Generators |
[3392:197370:1] |
Generators of the group modulo torsion |
j |
21867436817344/303282225 |
j-invariant |
L |
4.1089192272408 |
L(r)(E,1)/r! |
Ω |
0.39705349926333 |
Real period |
R |
5.1742639652149 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000583 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
61920o1 123840cy2 20640j1 |
Quadratic twists by: -4 8 -3 |