Atkin-Lehner |
2- 3- 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
64272bb |
Isogeny class |
Conductor |
64272 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
3356348112 = 24 · 32 · 133 · 1032 |
Discriminant |
Eigenvalues |
2- 3- -2 2 2 13- 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-629,5190] |
[a1,a2,a3,a4,a6] |
j |
1722843922432/209771757 |
j-invariant |
L |
4.0896661247412 |
L(r)(E,1)/r! |
Ω |
1.3632220409415 |
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 |
16068e1 |
Quadratic twists by: -4 |