Atkin-Lehner |
2+ 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
83520cs |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
16343982648852480 = 234 · 38 · 5 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-64812,1581104] |
[a1,a2,a3,a4,a6] |
j |
157551496201/85524480 |
j-invariant |
L |
1.3646862500822 |
L(r)(E,1)/r! |
Ω |
0.34117156651727 |
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 |
83520gd1 2610j1 27840b1 |
Quadratic twists by: -4 8 -3 |