Atkin-Lehner |
2- 3- 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
122760bq |
Isogeny class |
Conductor |
122760 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
10500399360 = 28 · 37 · 5 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11- 2 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1263,-16558] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:18:1] |
Generators of the group modulo torsion |
j |
1193895376/56265 |
j-invariant |
L |
5.1421234555077 |
L(r)(E,1)/r! |
Ω |
0.80318411890289 |
Real period |
R |
0.80027159199044 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999757705 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40920j1 |
Quadratic twists by: -3 |