Atkin-Lehner |
2+ 3- 29- 47- |
Signs for the Atkin-Lehner involutions |
Class |
24534g |
Isogeny class |
Conductor |
24534 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
5794832664 = 23 · 312 · 29 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 1 2 4 1 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1719,27621] |
[a1,a2,a3,a4,a6] |
j |
770842973809/7949016 |
j-invariant |
L |
2.7097045395274 |
L(r)(E,1)/r! |
Ω |
1.3548522697637 |
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 |
8178j1 |
Quadratic twists by: -3 |