Atkin-Lehner |
2- 3- 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
18126r |
Isogeny class |
Conductor |
18126 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
7327029187584 = 210 · 39 · 193 · 53 |
Discriminant |
Eigenvalues |
2- 3- 1 -3 4 -2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5702,103893] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:531:1] |
Generators of the group modulo torsion |
j |
28119423707929/10050794496 |
j-invariant |
L |
7.8290983488793 |
L(r)(E,1)/r! |
Ω |
0.68189601972606 |
Real period |
R |
0.09567805699595 |
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 |
6042a1 |
Quadratic twists by: -3 |