Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37440fa |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
4541681664000 = 215 · 38 · 53 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 4 13+ 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-47532,-3987344] |
[a1,a2,a3,a4,a6] |
j |
497169541448/190125 |
j-invariant |
L |
3.8801118580878 |
L(r)(E,1)/r! |
Ω |
0.32334265484049 |
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 |
37440fc2 18720bg2 12480cl2 |
Quadratic twists by: -4 8 -3 |