Atkin-Lehner |
2- 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
83520ev |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
19483545600 = 212 · 38 · 52 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 2 6 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12468,535808] |
[a1,a2,a3,a4,a6] |
j |
71783828416/6525 |
j-invariant |
L |
2.3317318181388 |
L(r)(E,1)/r! |
Ω |
1.1658658814294 |
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 |
83520ex2 41760j1 27840ct2 |
Quadratic twists by: -4 8 -3 |