Atkin-Lehner |
2- 5+ 17+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
85850s |
Isogeny class |
Conductor |
85850 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
1647360 |
Modular degree for the optimal curve |
Δ |
-2317433801120000000 = -1 · 211 · 57 · 175 · 1012 |
Discriminant |
Eigenvalues |
2- -1 5+ -4 -2 5 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-629963,-206179719] |
[a1,a2,a3,a4,a6] |
Generators |
[1395:-41098:1] |
Generators of the group modulo torsion |
j |
-1769493031878342889/148315763271680 |
j-invariant |
L |
6.3857887483955 |
L(r)(E,1)/r! |
Ω |
0.084326508619495 |
Real period |
R |
1.7210668963287 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996932 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17170e1 |
Quadratic twists by: 5 |