Atkin-Lehner |
2- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
75088bh |
Isogeny class |
Conductor |
75088 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
470016 |
Modular degree for the optimal curve |
Δ |
-32753957470208 = -1 · 229 · 132 · 192 |
Discriminant |
Eigenvalues |
2- 3 -4 2 5 13- 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1387,-276070] |
[a1,a2,a3,a4,a6] |
j |
-199565721/22151168 |
j-invariant |
L |
4.6556850382396 |
L(r)(E,1)/r! |
Ω |
0.29098031343606 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9386n1 75088s1 |
Quadratic twists by: -4 -19 |