Atkin-Lehner |
2+ 23- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
83582d |
Isogeny class |
Conductor |
83582 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
158400 |
Modular degree for the optimal curve |
Δ |
46779340924 = 22 · 236 · 79 |
Discriminant |
Eigenvalues |
2+ 1 -3 1 0 5 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-24610,-1487960] |
[a1,a2,a3,a4,a6] |
Generators |
[-91:47:1] [182:173:1] |
Generators of the group modulo torsion |
j |
11134383337/316 |
j-invariant |
L |
8.5863787247404 |
L(r)(E,1)/r! |
Ω |
0.38117508409974 |
Real period |
R |
5.6315188760205 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000041 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
158d3 |
Quadratic twists by: -23 |