Atkin-Lehner |
3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
24255u |
Isogeny class |
Conductor |
24255 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-43685402561955 = -1 · 39 · 5 · 79 · 11 |
Discriminant |
Eigenvalues |
0 3+ 5- 7- 11- 2 -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-18522,1021025] |
[a1,a2,a3,a4,a6] |
j |
-884736/55 |
j-invariant |
L |
2.5259299428502 |
L(r)(E,1)/r! |
Ω |
0.63148248571255 |
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 |
24255e1 121275ba1 24255j1 |
Quadratic twists by: -3 5 -7 |