Atkin-Lehner |
2- 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
83520ez |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-588565440000000000 = -1 · 215 · 37 · 510 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 0 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1086348,-437374672] |
[a1,a2,a3,a4,a6] |
j |
-5935443240847112/24638671875 |
j-invariant |
L |
2.365480668339 |
L(r)(E,1)/r! |
Ω |
0.073921272036984 |
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 |
83520ey2 41760k2 27840cu2 |
Quadratic twists by: -4 8 -3 |