Atkin-Lehner |
2+ 3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
38640v |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
6844960080 = 24 · 312 · 5 · 7 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-511,1820] |
[a1,a2,a3,a4,a6] |
j |
924093773824/427810005 |
j-invariant |
L |
3.5708693233298 |
L(r)(E,1)/r! |
Ω |
1.1902897744376 |
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 |
19320a1 115920bs1 |
Quadratic twists by: -4 -3 |