Atkin-Lehner |
2- 5+ 17+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
85850m |
Isogeny class |
Conductor |
85850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-13683685156250 = -1 · 2 · 58 · 17 · 1013 |
Discriminant |
Eigenvalues |
2- -1 5+ 2 1 -6 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,3312,163531] |
[a1,a2,a3,a4,a6] |
j |
257138126279/875755850 |
j-invariant |
L |
2.0012529105502 |
L(r)(E,1)/r! |
Ω |
0.50031325746978 |
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 |
17170g1 |
Quadratic twists by: 5 |