Atkin-Lehner |
2- 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
52022k |
Isogeny class |
Conductor |
52022 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
393984 |
Modular degree for the optimal curve |
Δ |
-48184193148888278 = -1 · 2 · 193 · 378 |
Discriminant |
Eigenvalues |
2- -1 -2 -3 2 -3 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,75951,6860245] |
[a1,a2,a3,a4,a6] |
j |
18884848247/18779942 |
j-invariant |
L |
0.94186546917928 |
L(r)(E,1)/r! |
Ω |
0.23546636765883 |
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 |
1406a1 |
Quadratic twists by: 37 |