Atkin-Lehner |
2- 3+ 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
38640bh |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-2113527569448960 = -1 · 226 · 35 · 5 · 72 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 6 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4144,-2210880] |
[a1,a2,a3,a4,a6] |
j |
1920959458991/515997941760 |
j-invariant |
L |
0.87238738427822 |
L(r)(E,1)/r! |
Ω |
0.21809684607612 |
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 |
4830bf1 115920ep1 |
Quadratic twists by: -4 -3 |