Atkin-Lehner |
2+ 3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
66066bc |
Isogeny class |
Conductor |
66066 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
12525147184966416 = 24 · 32 · 74 · 118 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11- 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-75265,-5851804] |
[a1,a2,a3,a4,a6] |
j |
26615737485793/7070119056 |
j-invariant |
L |
2.3515563101115 |
L(r)(E,1)/r! |
Ω |
0.29394453908964 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6006bb2 |
Quadratic twists by: -11 |