Atkin-Lehner |
2+ 3- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
24864i |
Isogeny class |
Conductor |
24864 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
-12879552 = -1 · 26 · 3 · 72 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 2 -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-82,308] |
[a1,a2,a3,a4,a6] |
j |
-964430272/201243 |
j-invariant |
L |
4.2969662382841 |
L(r)(E,1)/r! |
Ω |
2.1484831191421 |
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 |
24864e1 49728dd2 74592be1 |
Quadratic twists by: -4 8 -3 |