Atkin-Lehner |
2- 3- 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
24282k |
Isogeny class |
Conductor |
24282 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-672659964 = -1 · 22 · 38 · 192 · 71 |
Discriminant |
Eigenvalues |
2- 3- 2 4 -4 2 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-329,2693] |
[a1,a2,a3,a4,a6] |
j |
-5386984777/922716 |
j-invariant |
L |
6.2145488721627 |
L(r)(E,1)/r! |
Ω |
1.5536372180407 |
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 |
8094b1 |
Quadratic twists by: -3 |