Atkin-Lehner |
2+ 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
66654x |
Isogeny class |
Conductor |
66654 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
68861667396816 = 24 · 319 · 7 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- -2 0 -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-24318,1410052] |
[a1,a2,a3,a4,a6] |
j |
4124146838737/178564176 |
j-invariant |
L |
2.443864818544 |
L(r)(E,1)/r! |
Ω |
0.61096620706666 |
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 |
22218bb1 66654n1 |
Quadratic twists by: -3 -23 |