Atkin-Lehner |
2- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
1768c |
Isogeny class |
Conductor |
1768 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
128 |
Modular degree for the optimal curve |
Δ |
60112 = 24 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 0 0 -2 6 13+ 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10,-3] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:3:1] |
Generators of the group modulo torsion |
j |
6912000/3757 |
j-invariant |
L |
2.8050900672954 |
L(r)(E,1)/r! |
Ω |
2.8637921373593 |
Real period |
R |
0.97950197945649 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3536b1 14144j1 15912b1 44200e1 |
Quadratic twists by: -4 8 -3 5 |