Atkin-Lehner |
2- 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
19942i |
Isogeny class |
Conductor |
19942 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3024 |
Modular degree for the optimal curve |
Δ |
3370198 = 2 · 134 · 59 |
Discriminant |
Eigenvalues |
2- 1 0 0 -4 13+ 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-88,298] |
[a1,a2,a3,a4,a6] |
Generators |
[6:119:8] |
Generators of the group modulo torsion |
j |
2640625/118 |
j-invariant |
L |
8.7408541141462 |
L(r)(E,1)/r! |
Ω |
2.4829764621621 |
Real period |
R |
3.5203129177209 |
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 |
19942a1 |
Quadratic twists by: 13 |