Atkin-Lehner |
2- 3- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
5742v |
Isogeny class |
Conductor |
5742 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-8572760064 = -1 · 212 · 38 · 11 · 29 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11+ 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,346,-3787] |
[a1,a2,a3,a4,a6] |
j |
6300872423/11759616 |
j-invariant |
L |
4.0986563063224 |
L(r)(E,1)/r! |
Ω |
0.68310938438707 |
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 |
45936bv1 1914e1 63162u1 |
Quadratic twists by: -4 -3 -11 |