Atkin-Lehner |
2- 5+ 17+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
85850n |
Isogeny class |
Conductor |
85850 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
76922880 |
Modular degree for the optimal curve |
Δ |
176902681700000000 = 28 · 58 · 17 · 1014 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 -2 -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-23034203213,-1345584581905469] |
[a1,a2,a3,a4,a6] |
j |
86501426201585674735480387436809/11321771628800 |
j-invariant |
L |
2.4509599913155 |
L(r)(E,1)/r! |
Ω |
0.012254800798176 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17170a1 |
Quadratic twists by: 5 |