Atkin-Lehner |
2- 5+ 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
107690ba |
Isogeny class |
Conductor |
107690 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1520640 |
Modular degree for the optimal curve |
Δ |
27932012552816900 = 22 · 52 · 1112 · 89 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 11- 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-537061,-151321059] |
[a1,a2,a3,a4,a6] |
Generators |
[-80347690:-3632027:195112] |
Generators of the group modulo torsion |
j |
9670267777356649/15766892900 |
j-invariant |
L |
5.1661312260236 |
L(r)(E,1)/r! |
Ω |
0.17637465452317 |
Real period |
R |
7.3226666973386 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999812199 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9790c1 |
Quadratic twists by: -11 |