Atkin-Lehner |
2- 3- 7+ 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
69426bo |
Isogeny class |
Conductor |
69426 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
5369953361472 = 26 · 37 · 74 · 19 · 292 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -4 -4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-34115,2431235] |
[a1,a2,a3,a4,a6] |
Generators |
[81:400:1] |
Generators of the group modulo torsion |
j |
6023104191483625/7366191168 |
j-invariant |
L |
8.2042862567018 |
L(r)(E,1)/r! |
Ω |
0.761166572211 |
Real period |
R |
0.44910703278026 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999962 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23142k1 |
Quadratic twists by: -3 |