Atkin-Lehner |
2- 3- 13- 79- |
Signs for the Atkin-Lehner involutions |
Class |
18486bc |
Isogeny class |
Conductor |
18486 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-121286646 = -1 · 2 · 310 · 13 · 79 |
Discriminant |
Eigenvalues |
2- 3- -3 1 3 13- 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-59,-543] |
[a1,a2,a3,a4,a6] |
Generators |
[118:261:8] |
Generators of the group modulo torsion |
j |
-30664297/166374 |
j-invariant |
L |
6.8494075044335 |
L(r)(E,1)/r! |
Ω |
0.7754556635114 |
Real period |
R |
2.2081879811858 |
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 |
6162g1 |
Quadratic twists by: -3 |