Atkin-Lehner |
3- 5+ 17- 89- |
Signs for the Atkin-Lehner involutions |
Class |
22695f |
Isogeny class |
Conductor |
22695 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
11648 |
Modular degree for the optimal curve |
Δ |
-82723275 = -1 · 37 · 52 · 17 · 89 |
Discriminant |
Eigenvalues |
-2 3- 5+ -1 -5 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-396,2936] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:67:1] [9:13:1] |
Generators of the group modulo torsion |
j |
-6885024845824/82723275 |
j-invariant |
L |
4.4405547180485 |
L(r)(E,1)/r! |
Ω |
1.9294745946948 |
Real period |
R |
0.16438800528016 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68085j1 113475a1 |
Quadratic twists by: -3 5 |