Atkin-Lehner |
2- 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
13050bk |
Isogeny class |
Conductor |
13050 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
-1651640625000 = -1 · 23 · 36 · 510 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 6 -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2695,29697] |
[a1,a2,a3,a4,a6] |
j |
304175/232 |
j-invariant |
L |
3.2365929625462 |
L(r)(E,1)/r! |
Ω |
0.53943216042436 |
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 |
104400ep1 1450c1 13050s1 |
Quadratic twists by: -4 -3 5 |