Atkin-Lehner |
2- 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
59840bm |
Isogeny class |
Conductor |
59840 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-9268019200 = -1 · 214 · 52 · 113 · 17 |
Discriminant |
Eigenvalues |
2- -2 5- 1 11- 4 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1045,-14157] |
[a1,a2,a3,a4,a6] |
j |
-7710244864/565675 |
j-invariant |
L |
2.5082937852958 |
L(r)(E,1)/r! |
Ω |
0.41804896425126 |
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 |
59840k1 14960d1 |
Quadratic twists by: -4 8 |