Atkin-Lehner |
2- 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
19942j |
Isogeny class |
Conductor |
19942 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-1139126924 = -1 · 22 · 136 · 59 |
Discriminant |
Eigenvalues |
2- -1 3 1 2 13+ -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,81,1633] |
[a1,a2,a3,a4,a6] |
Generators |
[14:327:8] |
Generators of the group modulo torsion |
j |
12167/236 |
j-invariant |
L |
8.1533289306077 |
L(r)(E,1)/r! |
Ω |
1.1533485176747 |
Real period |
R |
1.7673168183035 |
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 |
118a1 |
Quadratic twists by: 13 |