Atkin-Lehner |
2- 5- 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
58100q |
Isogeny class |
Conductor |
58100 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-1245518750000 = -1 · 24 · 58 · 74 · 83 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ 0 0 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7833,269588] |
[a1,a2,a3,a4,a6] |
j |
-8505180160/199283 |
j-invariant |
L |
1.7225713053236 |
L(r)(E,1)/r! |
Ω |
0.861285653 |
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 |
58100g1 |
Quadratic twists by: 5 |