Atkin-Lehner |
2- 3+ 17- 79- |
Signs for the Atkin-Lehner involutions |
Class |
64464i |
Isogeny class |
Conductor |
64464 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
1336725504 = 212 · 35 · 17 · 79 |
Discriminant |
Eigenvalues |
2- 3+ -3 -1 4 2 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-277,349] |
[a1,a2,a3,a4,a6] |
j |
575930368/326349 |
j-invariant |
L |
1.3115858796341 |
L(r)(E,1)/r! |
Ω |
1.3115858728334 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4029b1 |
Quadratic twists by: -4 |