Atkin-Lehner |
2- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
75088bg |
Isogeny class |
Conductor |
75088 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1313280 |
Modular degree for the optimal curve |
Δ |
-1808681529614336 = -1 · 213 · 13 · 198 |
Discriminant |
Eigenvalues |
2- 3 -3 -3 0 13- 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-353419,-80895046] |
[a1,a2,a3,a4,a6] |
j |
-25334470953/9386 |
j-invariant |
L |
3.5244384620724 |
L(r)(E,1)/r! |
Ω |
0.097901068987844 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9386m1 3952f1 |
Quadratic twists by: -4 -19 |