Atkin-Lehner |
2+ 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
41184i |
Isogeny class |
Conductor |
41184 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
755622286848 = 29 · 38 · 113 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 11+ 13+ -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-127659,17555938] |
[a1,a2,a3,a4,a6] |
j |
616425416371016/2024451 |
j-invariant |
L |
1.5704761933779 |
L(r)(E,1)/r! |
Ω |
0.78523809663891 |
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 |
41184be2 82368cl2 13728m2 |
Quadratic twists by: -4 8 -3 |