Atkin-Lehner |
2+ 3- 5- 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
58410o |
Isogeny class |
Conductor |
58410 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-2790527018954226750 = -1 · 2 · 37 · 53 · 112 · 596 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11+ 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-387594,122921658] |
[a1,a2,a3,a4,a6] |
j |
-8833401092034587809/3827883427920750 |
j-invariant |
L |
1.9092984088707 |
L(r)(E,1)/r! |
Ω |
0.23866230132399 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
19470bb4 |
Quadratic twists by: -3 |