Atkin-Lehner |
2+ 3+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
93288j |
Isogeny class |
Conductor |
93288 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
281088 |
Modular degree for the optimal curve |
Δ |
20529330432 = 28 · 3 · 133 · 233 |
Discriminant |
Eigenvalues |
2+ 3+ 0 4 -2 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-158188,24269140] |
[a1,a2,a3,a4,a6] |
Generators |
[2074:6279:8] |
Generators of the group modulo torsion |
j |
778353783802000/36501 |
j-invariant |
L |
6.162453142364 |
L(r)(E,1)/r! |
Ω |
0.90613868173681 |
Real period |
R |
2.266927888099 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999967881 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93288bg1 |
Quadratic twists by: 13 |