Atkin-Lehner |
2- 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304gd |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
6345523993536 = 26 · 33 · 710 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23732,-1394070] |
[a1,a2,a3,a4,a6] |
j |
196325547328/842751 |
j-invariant |
L |
1.5389922844937 |
L(r)(E,1)/r! |
Ω |
0.38474820790616 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122304ik1 61152s3 17472co1 |
Quadratic twists by: -4 8 -7 |