Atkin-Lehner |
2- 5+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
22550bc |
Isogeny class |
Conductor |
22550 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-7046875000 = -1 · 23 · 59 · 11 · 41 |
Discriminant |
Eigenvalues |
2- 2 5+ 4 11- 1 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1312713,-579445969] |
[a1,a2,a3,a4,a6] |
j |
-16010801205512777929/451000 |
j-invariant |
L |
7.6164196748636 |
L(r)(E,1)/r! |
Ω |
0.070522404396885 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4510b2 |
Quadratic twists by: 5 |