Atkin-Lehner |
2+ 3+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
522c |
Isogeny class |
Conductor |
522 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-4566456 = -1 · 23 · 39 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -1 0 2 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1311,-17947] |
[a1,a2,a3,a4,a6] |
j |
-12665630691/232 |
j-invariant |
L |
0.79338297587091 |
L(r)(E,1)/r! |
Ω |
0.39669148793545 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4176u2 16704e2 522h1 13050bb2 |
Quadratic twists by: -4 8 -3 5 |