Atkin-Lehner |
2- 5+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
30160w |
Isogeny class |
Conductor |
30160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
5597696000 = 212 · 53 · 13 · 292 |
Discriminant |
Eigenvalues |
2- 2 5+ 0 -6 13- 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-696,6320] |
[a1,a2,a3,a4,a6] |
j |
9116230969/1366625 |
j-invariant |
L |
2.5940512241637 |
L(r)(E,1)/r! |
Ω |
1.2970256120812 |
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 |
1885d1 120640cn1 |
Quadratic twists by: -4 8 |