Atkin-Lehner |
2- 3- 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
111540y |
Isogeny class |
Conductor |
111540 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-104230808606496000 = -1 · 28 · 3 · 53 · 113 · 138 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ 13+ 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-246796,-49763596] |
[a1,a2,a3,a4,a6] |
Generators |
[1633868141316047:99711063677749740:430882101377] |
Generators of the group modulo torsion |
j |
-7960732624/499125 |
j-invariant |
L |
8.3791193984453 |
L(r)(E,1)/r! |
Ω |
0.10671177325989 |
Real period |
R |
26.173679943258 |
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 |
111540bm2 |
Quadratic twists by: 13 |