Atkin-Lehner |
2- 31- 47- |
Signs for the Atkin-Lehner involutions |
Class |
90334y |
Isogeny class |
Conductor |
90334 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
2764800 |
Modular degree for the optimal curve |
Δ |
338976535535157248 = 218 · 317 · 47 |
Discriminant |
Eigenvalues |
2- -2 4 0 4 -6 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-193181,16817713] |
[a1,a2,a3,a4,a6] |
j |
898352786449/381943808 |
j-invariant |
L |
4.9398773250412 |
L(r)(E,1)/r! |
Ω |
0.27443762744736 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2914h1 |
Quadratic twists by: -31 |