Atkin-Lehner |
2+ 3- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
76320g |
Isogeny class |
Conductor |
76320 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
537414396840000 = 26 · 314 · 54 · 532 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27633,1371832] |
[a1,a2,a3,a4,a6] |
j |
50015005499584/11518655625 |
j-invariant |
L |
0.97918376970254 |
L(r)(E,1)/r! |
Ω |
0.48959187400292 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
76320h1 25440bj1 |
Quadratic twists by: -4 -3 |