Atkin-Lehner |
2- 5+ 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
115700a |
Isogeny class |
Conductor |
115700 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
571680 |
Modular degree for the optimal curve |
Δ |
257432500000000 = 28 · 510 · 13 · 892 |
Discriminant |
Eigenvalues |
2- -1 5+ -4 6 13+ -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33333,-2200463] |
[a1,a2,a3,a4,a6] |
j |
1638400000/102973 |
j-invariant |
L |
2.1283264709066 |
L(r)(E,1)/r! |
Ω |
0.35472103016211 |
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 |
115700d1 |
Quadratic twists by: 5 |