Atkin-Lehner |
2- 5+ 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
91120m |
Isogeny class |
Conductor |
91120 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1891008 |
Modular degree for the optimal curve |
Δ |
-209427292160000000 = -1 · 219 · 57 · 17 · 673 |
Discriminant |
Eigenvalues |
2- 3 5+ -2 -2 0 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-840163,-297227038] |
[a1,a2,a3,a4,a6] |
j |
-16012325844671690169/51129710000000 |
j-invariant |
L |
4.256860192801 |
L(r)(E,1)/r! |
Ω |
0.078830745337149 |
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 |
11390c1 |
Quadratic twists by: -4 |