Atkin-Lehner |
2- 3+ 19+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
75696g |
Isogeny class |
Conductor |
75696 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1989120 |
Modular degree for the optimal curve |
Δ |
2134498955231232 = 226 · 35 · 19 · 832 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 0 0 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10601488,13289659840] |
[a1,a2,a3,a4,a6] |
Generators |
[121476:86071:64] |
Generators of the group modulo torsion |
j |
32170979461804880244625/521117908992 |
j-invariant |
L |
3.6391849642531 |
L(r)(E,1)/r! |
Ω |
0.3308539871803 |
Real period |
R |
5.4996843118873 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999961841 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9462b1 |
Quadratic twists by: -4 |