Atkin-Lehner |
2- 3+ 19- 79- |
Signs for the Atkin-Lehner involutions |
Class |
18012c |
Isogeny class |
Conductor |
18012 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1872 |
Modular degree for the optimal curve |
Δ |
-72048 = -1 · 24 · 3 · 19 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 -4 2 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-38,105] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:13:1] [3:3:1] |
Generators of the group modulo torsion |
j |
-389344000/4503 |
j-invariant |
L |
5.7406045045171 |
L(r)(E,1)/r! |
Ω |
3.4714952578518 |
Real period |
R |
0.55121343764224 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72048s1 54036j1 |
Quadratic twists by: -4 -3 |