Atkin-Lehner |
2+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
46400w |
Isogeny class |
Conductor |
46400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-593920000000000 = -1 · 221 · 510 · 29 |
Discriminant |
Eigenvalues |
2+ -2 5+ -2 6 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,19167,-569537] |
[a1,a2,a3,a4,a6] |
j |
304175/232 |
j-invariant |
L |
1.151704710176 |
L(r)(E,1)/r! |
Ω |
0.28792617750723 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46400cc1 1450c1 46400bi1 |
Quadratic twists by: -4 8 5 |