Atkin-Lehner |
3- 5+ 17- 83- |
Signs for the Atkin-Lehner involutions |
Class |
63495j |
Isogeny class |
Conductor |
63495 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
75520 |
Modular degree for the optimal curve |
Δ |
303694616655 = 316 · 5 · 17 · 83 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 3 3 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1688,-2604] |
[a1,a2,a3,a4,a6] |
j |
729243027001/416590695 |
j-invariant |
L |
1.613245724547 |
L(r)(E,1)/r! |
Ω |
0.80662286722567 |
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 |
21165c1 |
Quadratic twists by: -3 |