Atkin-Lehner |
2- 3- 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
6018l |
Isogeny class |
Conductor |
6018 |
Conductor |
∏ cp |
51 |
Product of Tamagawa factors cp |
deg |
8976 |
Modular degree for the optimal curve |
Δ |
-1372891250688 = -1 · 217 · 3 · 17 · 593 |
Discriminant |
Eigenvalues |
2- 3- -2 -3 2 -2 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1071,54825] |
[a1,a2,a3,a4,a6] |
Generators |
[122:1355:1] |
Generators of the group modulo torsion |
j |
135852232716143/1372891250688 |
j-invariant |
L |
5.8303879840116 |
L(r)(E,1)/r! |
Ω |
0.62862989276492 |
Real period |
R |
0.18185793315843 |
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 |
48144i1 18054a1 102306p1 |
Quadratic twists by: -4 -3 17 |