Atkin-Lehner |
2- 17+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
85952n |
Isogeny class |
Conductor |
85952 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4866048 |
Modular degree for the optimal curve |
Δ |
4.421573302462E+19 |
Discriminant |
Eigenvalues |
2- 1 3 -5 -6 1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5704449,-5236206337] |
[a1,a2,a3,a4,a6] |
j |
78311397007706818753/168669635866624 |
j-invariant |
L |
0.39080702560232 |
L(r)(E,1)/r! |
Ω |
0.097701745660977 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85952f1 21488e1 |
Quadratic twists by: -4 8 |