Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
24640l |
Isogeny class |
Conductor |
24640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
-2163589120 = -1 · 214 · 5 · 74 · 11 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 11- 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-188,2448] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:56:1] |
Generators of the group modulo torsion |
j |
-44851536/132055 |
j-invariant |
L |
4.9467610534356 |
L(r)(E,1)/r! |
Ω |
1.2887761607239 |
Real period |
R |
0.95958499314906 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24640z1 3080e1 123200l1 |
Quadratic twists by: -4 8 5 |