Atkin-Lehner |
2+ 3- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
22968k |
Isogeny class |
Conductor |
22968 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-154676166644736 = -1 · 210 · 316 · 112 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 11- -2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2451,600190] |
[a1,a2,a3,a4,a6] |
j |
-2181354052/207202941 |
j-invariant |
L |
1.8976633694271 |
L(r)(E,1)/r! |
Ω |
0.47441584235679 |
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 |
45936m2 7656g2 |
Quadratic twists by: -4 -3 |