Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
55800bx |
Isogeny class |
Conductor |
55800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1244160 |
Modular degree for the optimal curve |
Δ |
-3803676159147750000 = -1 · 24 · 312 · 56 · 315 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 -4 2 -8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,210525,86153875] |
[a1,a2,a3,a4,a6] |
Generators |
[-271:3033:1] |
Generators of the group modulo torsion |
j |
5661965297408/20870651079 |
j-invariant |
L |
3.5890052698032 |
L(r)(E,1)/r! |
Ω |
0.17659983116941 |
Real period |
R |
5.0807031441281 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997315 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111600bv1 18600k1 2232e1 |
Quadratic twists by: -4 -3 5 |