Atkin-Lehner |
2- 3- 29- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
24534r |
Isogeny class |
Conductor |
24534 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-1931610888 = -1 · 23 · 311 · 29 · 47 |
Discriminant |
Eigenvalues |
2- 3- 0 4 4 3 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,265,1239] |
[a1,a2,a3,a4,a6] |
j |
2833148375/2649672 |
j-invariant |
L |
5.8082955552019 |
L(r)(E,1)/r! |
Ω |
0.9680492592003 |
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 |
8178a1 |
Quadratic twists by: -3 |