Atkin-Lehner |
2- 3- 7+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
69426bl |
Isogeny class |
Conductor |
69426 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1317888 |
Modular degree for the optimal curve |
Δ |
-52780987338550506 = -1 · 2 · 319 · 72 · 19 · 293 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ -5 5 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-538619,-152415723] |
[a1,a2,a3,a4,a6] |
j |
-23705025981806060137/72401903070714 |
j-invariant |
L |
2.1143701027624 |
L(r)(E,1)/r! |
Ω |
0.088098754900832 |
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 |
23142b1 |
Quadratic twists by: -3 |