Atkin-Lehner |
3- 11+ 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
23199b |
Isogeny class |
Conductor |
23199 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
47680 |
Modular degree for the optimal curve |
Δ |
-153140069871987 = -1 · 3 · 11 · 195 · 374 |
Discriminant |
Eigenvalues |
0 3- 0 -2 11+ 1 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2783,597140] |
[a1,a2,a3,a4,a6] |
j |
-2384621056000000/153140069871987 |
j-invariant |
L |
0.95409905718296 |
L(r)(E,1)/r! |
Ω |
0.47704952859149 |
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 |
69597e1 |
Quadratic twists by: -3 |