Atkin-Lehner |
2+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
67280g |
Isogeny class |
Conductor |
67280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
50176 |
Modular degree for the optimal curve |
Δ |
47585865680 = 24 · 5 · 296 |
Discriminant |
Eigenvalues |
2+ 0 5- 4 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1682,-24389] |
[a1,a2,a3,a4,a6] |
j |
55296/5 |
j-invariant |
L |
2.9992111935517 |
L(r)(E,1)/r! |
Ω |
0.74980279797702 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33640h1 80a2 |
Quadratic twists by: -4 29 |