Atkin-Lehner |
2- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
19136y |
Isogeny class |
Conductor |
19136 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
52224 |
Modular degree for the optimal curve |
Δ |
-236291920756736 = -1 · 235 · 13 · 232 |
Discriminant |
Eigenvalues |
2- -1 1 1 -6 13- 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,255,739489] |
[a1,a2,a3,a4,a6] |
Generators |
[405:8192:1] |
Generators of the group modulo torsion |
j |
6967871/901382144 |
j-invariant |
L |
3.9405403366725 |
L(r)(E,1)/r! |
Ω |
0.44093388436628 |
Real period |
R |
1.1171006800532 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19136o1 4784c1 |
Quadratic twists by: -4 8 |