Atkin-Lehner |
2- 3- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
55800cd |
Isogeny class |
Conductor |
55800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
1021429602000 = 24 · 312 · 53 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10470,-409475] |
[a1,a2,a3,a4,a6] |
j |
87057508352/700569 |
j-invariant |
L |
1.8887898601299 |
L(r)(E,1)/r! |
Ω |
0.47219746569681 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111600cc1 18600m1 55800z1 |
Quadratic twists by: -4 -3 5 |