Atkin-Lehner |
2- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
2842f |
Isogeny class |
Conductor |
2842 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-42797882624 = -1 · 28 · 78 · 29 |
Discriminant |
Eigenvalues |
2- 1 3 7- -1 1 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4999,-136823] |
[a1,a2,a3,a4,a6] |
j |
-117433042273/363776 |
j-invariant |
L |
4.5413789558622 |
L(r)(E,1)/r! |
Ω |
0.28383618474139 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22736bl1 90944z1 25578q1 71050v1 |
Quadratic twists by: -4 8 -3 5 |