Atkin-Lehner |
3+ 17+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
68493a |
Isogeny class |
Conductor |
68493 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
-48698523 = -1 · 33 · 172 · 792 |
Discriminant |
Eigenvalues |
-1 3+ -4 -1 2 1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-295,1856] |
[a1,a2,a3,a4,a6] |
Generators |
[16:31:1] |
Generators of the group modulo torsion |
j |
-9826162129/168507 |
j-invariant |
L |
2.0630921303995 |
L(r)(E,1)/r! |
Ω |
2.0121579258414 |
Real period |
R |
0.51265661239867 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999934738 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68493f1 |
Quadratic twists by: 17 |