Atkin-Lehner |
2- 3- 7- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
85932bn |
Isogeny class |
Conductor |
85932 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
291840 |
Modular degree for the optimal curve |
Δ |
520951063248 = 24 · 311 · 72 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 11- 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22368,-1287155] |
[a1,a2,a3,a4,a6] |
j |
106110329552896/44663157 |
j-invariant |
L |
6.2463125728939 |
L(r)(E,1)/r! |
Ω |
0.39039454181853 |
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 |
28644r1 |
Quadratic twists by: -3 |