Atkin-Lehner |
2- 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
113344df |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
74937781973942272 = 220 · 710 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 0 0 7+ 11- 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-323020,-69424752] |
[a1,a2,a3,a4,a6] |
j |
14219097381959625/285864951988 |
j-invariant |
L |
0.8020161257109 |
L(r)(E,1)/r! |
Ω |
0.20050392095316 |
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 |
113344x2 28336o2 |
Quadratic twists by: -4 8 |