Atkin-Lehner |
2- 5+ 17+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
85850r |
Isogeny class |
Conductor |
85850 |
Conductor |
∏ cp |
228 |
Product of Tamagawa factors cp |
deg |
1444608 |
Modular degree for the optimal curve |
Δ |
-3587095961600000000 = -1 · 219 · 58 · 17 · 1013 |
Discriminant |
Eigenvalues |
2- -1 5+ -4 1 0 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-218563,99157281] |
[a1,a2,a3,a4,a6] |
Generators |
[2195:-102098:1] |
Generators of the group modulo torsion |
j |
-73898179543791721/229574141542400 |
j-invariant |
L |
5.8291056147596 |
L(r)(E,1)/r! |
Ω |
0.21938257865599 |
Real period |
R |
0.11653729668702 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015457 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17170h1 |
Quadratic twists by: 5 |