Atkin-Lehner |
2- 3- 5- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
39840l |
Isogeny class |
Conductor |
39840 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-165336000 = -1 · 26 · 3 · 53 · 832 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,70,600] |
[a1,a2,a3,a4,a6] |
j |
584277056/2583375 |
j-invariant |
L |
3.8964963062357 |
L(r)(E,1)/r! |
Ω |
1.2988321020685 |
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 |
39840d1 79680e1 119520h1 |
Quadratic twists by: -4 8 -3 |