Atkin-Lehner |
2- 3+ 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
55800bk |
Isogeny class |
Conductor |
55800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
51200 |
Modular degree for the optimal curve |
Δ |
418500000000 = 28 · 33 · 59 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3375,-68750] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:78:1] |
Generators of the group modulo torsion |
j |
314928/31 |
j-invariant |
L |
5.7291426700526 |
L(r)(E,1)/r! |
Ω |
0.63033698794308 |
Real period |
R |
2.2722538814742 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000159 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111600m1 55800g1 55800f1 |
Quadratic twists by: -4 -3 5 |