Atkin-Lehner |
2- 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
69300cp |
Isogeny class |
Conductor |
69300 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
417792 |
Modular degree for the optimal curve |
Δ |
461278204002000 = 24 · 38 · 53 · 74 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- 4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-322320,-70425875] |
[a1,a2,a3,a4,a6] |
j |
2539966281285632/316377369 |
j-invariant |
L |
3.205907370236 |
L(r)(E,1)/r! |
Ω |
0.2003692105482 |
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 |
23100bh1 69300cj1 |
Quadratic twists by: -3 5 |