Atkin-Lehner |
2- 19+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
6308d |
Isogeny class |
Conductor |
6308 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3744 |
Modular degree for the optimal curve |
Δ |
-33508096 = -1 · 28 · 19 · 832 |
Discriminant |
Eigenvalues |
2- -2 1 1 -3 -2 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5245,-147969] |
[a1,a2,a3,a4,a6] |
Generators |
[85:166:1] |
Generators of the group modulo torsion |
j |
-62345200132096/130891 |
j-invariant |
L |
2.8808031189388 |
L(r)(E,1)/r! |
Ω |
0.2804957150823 |
Real period |
R |
1.7117332898137 |
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 |
25232m1 100928i1 56772c1 119852d1 |
Quadratic twists by: -4 8 -3 -19 |