Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
20700u |
Isogeny class |
Conductor |
20700 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
15090300000000 = 28 · 38 · 58 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 -1 1 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6375,58750] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:450:1] |
Generators of the group modulo torsion |
j |
393040/207 |
j-invariant |
L |
4.3064650364135 |
L(r)(E,1)/r! |
Ω |
0.6147308423737 |
Real period |
R |
0.38919156334292 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82800fh1 6900h1 20700l1 |
Quadratic twists by: -4 -3 5 |