Atkin-Lehner |
2+ 5+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
37840a |
Isogeny class |
Conductor |
37840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-2603392000 = -1 · 210 · 53 · 11 · 432 |
Discriminant |
Eigenvalues |
2+ 2 5+ 0 11+ 6 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,344,0] |
[a1,a2,a3,a4,a6] |
Generators |
[588:3556:27] |
Generators of the group modulo torsion |
j |
4383651164/2542375 |
j-invariant |
L |
8.1024997020166 |
L(r)(E,1)/r! |
Ω |
0.86641162491681 |
Real period |
R |
4.6758950763135 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999977 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18920e1 |
Quadratic twists by: -4 |