Atkin-Lehner |
2- 3- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
35568ca |
Isogeny class |
Conductor |
35568 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-318465840685824 = -1 · 28 · 318 · 132 · 19 |
Discriminant |
Eigenvalues |
2- 3- 3 1 3 13- 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35616,2725868] |
[a1,a2,a3,a4,a6] |
j |
-26772667629568/1706457051 |
j-invariant |
L |
4.2791302488487 |
L(r)(E,1)/r! |
Ω |
0.53489128110812 |
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 |
8892p1 11856v1 |
Quadratic twists by: -4 -3 |