Atkin-Lehner |
2- 3+ 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
68160by |
Isogeny class |
Conductor |
68160 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
43554240 = 26 · 33 · 5 · 712 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 4 4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-156,-630] |
[a1,a2,a3,a4,a6] |
j |
6602349376/680535 |
j-invariant |
L |
2.7182992542521 |
L(r)(E,1)/r! |
Ω |
1.3591496294927 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68160dc1 34080v2 |
Quadratic twists by: -4 8 |