Atkin-Lehner |
2- 3+ 11- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
24882bb |
Isogeny class |
Conductor |
24882 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
55680 |
Modular degree for the optimal curve |
Δ |
-475161277734 = -1 · 2 · 34 · 11 · 13 · 295 |
Discriminant |
Eigenvalues |
2- 3+ -1 -5 11- 13- 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,769,-31813] |
[a1,a2,a3,a4,a6] |
j |
50288355526031/475161277734 |
j-invariant |
L |
0.92346721433394 |
L(r)(E,1)/r! |
Ω |
0.46173360716696 |
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 |
74646n1 |
Quadratic twists by: -3 |