Atkin-Lehner |
2- 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
55800cg |
Isogeny class |
Conductor |
55800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3152560500000000 = 28 · 38 · 59 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-42375,-1993750] |
[a1,a2,a3,a4,a6] |
Generators |
[-175:250:1] |
Generators of the group modulo torsion |
j |
23086352/8649 |
j-invariant |
L |
5.8660344427836 |
L(r)(E,1)/r! |
Ω |
0.34332546379884 |
Real period |
R |
2.1357411047106 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000258 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111600bw2 18600f2 55800bd2 |
Quadratic twists by: -4 -3 5 |