Atkin-Lehner |
2- 3+ 5+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
116610bl |
Isogeny class |
Conductor |
116610 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
621391034028960000 = 28 · 32 · 54 · 138 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-309696,-54554271] |
[a1,a2,a3,a4,a6] |
j |
680566353484681/128737440000 |
j-invariant |
L |
3.2805073782544 |
L(r)(E,1)/r! |
Ω |
0.20503170661717 |
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 |
8970c2 |
Quadratic twists by: 13 |