Atkin-Lehner |
2+ 3- 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
115632c |
Isogeny class |
Conductor |
115632 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1146397521126730752 = 210 · 315 · 114 · 732 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 11+ 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3805635,-2857052558] |
[a1,a2,a3,a4,a6] |
j |
8165403017139914500/1535704841187 |
j-invariant |
L |
0.86474422996982 |
L(r)(E,1)/r! |
Ω |
0.10809302552012 |
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 |
57816c2 38544e2 |
Quadratic twists by: -4 -3 |