Atkin-Lehner |
2- 3+ 5- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
59280bj |
Isogeny class |
Conductor |
59280 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
94080 |
Modular degree for the optimal curve |
Δ |
-5254958592000 = -1 · 212 · 37 · 53 · 13 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 3 13+ -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3515,-76883] |
[a1,a2,a3,a4,a6] |
j |
1172239069184/1282948875 |
j-invariant |
L |
2.4789602894378 |
L(r)(E,1)/r! |
Ω |
0.41316004809982 |
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 |
3705h1 |
Quadratic twists by: -4 |