Atkin-Lehner |
2- 3- 5+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
67860n |
Isogeny class |
Conductor |
67860 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
651148085250000 = 24 · 312 · 56 · 132 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-58548,-5312747] |
[a1,a2,a3,a4,a6] |
Generators |
[17986:847665:8] |
Generators of the group modulo torsion |
j |
1902884346904576/55825453125 |
j-invariant |
L |
4.1711983708723 |
L(r)(E,1)/r! |
Ω |
0.3074684837253 |
Real period |
R |
6.7831315922693 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992902 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22620k1 |
Quadratic twists by: -3 |