Atkin-Lehner |
2- 3- 13+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
75582bi |
Isogeny class |
Conductor |
75582 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
3109612386421008 = 24 · 38 · 136 · 17 · 192 |
Discriminant |
Eigenvalues |
2- 3- 0 0 -4 13+ 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-500945,136567473] |
[a1,a2,a3,a4,a6] |
Generators |
[399:104:1] |
Generators of the group modulo torsion |
j |
19070650613726727625/4265586263952 |
j-invariant |
L |
9.1900747663435 |
L(r)(E,1)/r! |
Ω |
0.43735686142734 |
Real period |
R |
2.6265950004816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001232 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25194c1 |
Quadratic twists by: -3 |