Atkin-Lehner |
2- 3- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
67620bn |
Isogeny class |
Conductor |
67620 |
Conductor |
∏ cp |
252 |
Product of Tamagawa factors cp |
deg |
141571584 |
Modular degree for the optimal curve |
Δ |
5523551284151250000 = 24 · 32 · 57 · 79 · 233 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-108679192365,13790073350670588] |
[a1,a2,a3,a4,a6] |
j |
219867266163240434695179993088/8554921875 |
j-invariant |
L |
3.7261781765727 |
L(r)(E,1)/r! |
Ω |
0.059145685365663 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67620e1 |
Quadratic twists by: -7 |