Atkin-Lehner |
2- 29- |
Signs for the Atkin-Lehner involutions |
Class |
1682i |
Isogeny class |
Conductor |
1682 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
224 |
Modular degree for the optimal curve |
Δ |
-390224 = -1 · 24 · 293 |
Discriminant |
Eigenvalues |
2- 1 -1 -2 -5 1 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-61,-191] |
[a1,a2,a3,a4,a6] |
Generators |
[12:23:1] |
Generators of the group modulo torsion |
j |
-1030301/16 |
j-invariant |
L |
4.1385484798886 |
L(r)(E,1)/r! |
Ω |
0.85329516434063 |
Real period |
R |
0.6062598050533 |
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 |
13456n1 53824n1 15138l1 42050l1 |
Quadratic twists by: -4 8 -3 5 |