Atkin-Lehner |
2- 3- 31- |
Signs for the Atkin-Lehner involutions |
Class |
23064m |
Isogeny class |
Conductor |
23064 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
2726411308032 = 210 · 3 · 316 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-61824,-5936880] |
[a1,a2,a3,a4,a6] |
j |
28756228/3 |
j-invariant |
L |
1.2110788064714 |
L(r)(E,1)/r! |
Ω |
0.30276970161786 |
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 |
46128f4 69192l4 24a3 |
Quadratic twists by: -4 -3 -31 |