Atkin-Lehner |
2- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
24640bc |
Isogeny class |
Conductor |
24640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-1130364928000 = -1 · 224 · 53 · 72 · 11 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 11+ -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,639,-50561] |
[a1,a2,a3,a4,a6] |
j |
109902239/4312000 |
j-invariant |
L |
0.83530149530048 |
L(r)(E,1)/r! |
Ω |
0.41765074765027 |
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 |
24640o1 6160k1 123200fo1 |
Quadratic twists by: -4 8 5 |