Atkin-Lehner |
2- 7+ 19+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
64904c |
Isogeny class |
Conductor |
64904 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
29760 |
Modular degree for the optimal curve |
Δ |
483015568 = 24 · 7 · 19 · 613 |
Discriminant |
Eigenvalues |
2- 1 2 7+ 4 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1072,13117] |
[a1,a2,a3,a4,a6] |
j |
8523012944128/30188473 |
j-invariant |
L |
3.3330393611781 |
L(r)(E,1)/r! |
Ω |
1.6665196823792 |
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 |
129808d1 |
Quadratic twists by: -4 |