Atkin-Lehner |
2- 3+ 19- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
18012b |
Isogeny class |
Conductor |
18012 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
54000 |
Modular degree for the optimal curve |
Δ |
-58599041993328 = -1 · 24 · 3 · 195 · 793 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 -2 0 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20878,1225129] |
[a1,a2,a3,a4,a6] |
Generators |
[66:361:1] |
Generators of the group modulo torsion |
j |
-62905875429856000/3662440124583 |
j-invariant |
L |
5.0996615939227 |
L(r)(E,1)/r! |
Ω |
0.61695009508894 |
Real period |
R |
0.5510614915228 |
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 |
72048u1 54036i1 |
Quadratic twists by: -4 -3 |