Atkin-Lehner |
2+ 3+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
88218j |
Isogeny class |
Conductor |
88218 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
-120940526304 = -1 · 25 · 33 · 136 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 3 5 -4 13+ 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,222,16628] |
[a1,a2,a3,a4,a6] |
j |
9261/928 |
j-invariant |
L |
3.2115462583448 |
L(r)(E,1)/r! |
Ω |
0.80288654357352 |
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 |
88218bl1 522i1 |
Quadratic twists by: -3 13 |