Atkin-Lehner |
2- 5+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
9620b |
Isogeny class |
Conductor |
9620 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
1142988371200 = 28 · 52 · 136 · 37 |
Discriminant |
Eigenvalues |
2- 1 5+ 5 3 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3341,52559] |
[a1,a2,a3,a4,a6] |
j |
16115476701184/4464798325 |
j-invariant |
L |
3.2381990662323 |
L(r)(E,1)/r! |
Ω |
0.80954976655809 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
38480r1 86580l1 48100a1 125060f1 |
Quadratic twists by: -4 -3 5 13 |