Atkin-Lehner |
5- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
24505d |
Isogeny class |
Conductor |
24505 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
6596437849625 = 53 · 137 · 292 |
Discriminant |
Eigenvalues |
1 2 5- 0 -2 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4811602,4060395591] |
[a1,a2,a3,a4,a6] |
j |
2552306517708204529/1366625 |
j-invariant |
L |
2.7504526825803 |
L(r)(E,1)/r! |
Ω |
0.45840878043003 |
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 |
122525d1 1885b1 |
Quadratic twists by: 5 13 |