Atkin-Lehner |
2+ 3- 11- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
104346u |
Isogeny class |
Conductor |
104346 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
18915769420416 = 27 · 36 · 113 · 173 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -1 3 11- -4 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8160,-189568] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:163:1] |
Generators of the group modulo torsion |
j |
82432144309761/25947557504 |
j-invariant |
L |
5.1996357415328 |
L(r)(E,1)/r! |
Ω |
0.51474596428292 |
Real period |
R |
1.6835604696334 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999948314 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11594d1 |
Quadratic twists by: -3 |