Atkin-Lehner |
2+ 3- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
113568bl |
Isogeny class |
Conductor |
113568 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
312869719997313024 = 212 · 3 · 74 · 139 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 2 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-178689,10941711] |
[a1,a2,a3,a4,a6] |
Generators |
[-12988:399105:64] |
Generators of the group modulo torsion |
j |
14526784/7203 |
j-invariant |
L |
7.7303506726156 |
L(r)(E,1)/r! |
Ω |
0.27124907202052 |
Real period |
R |
7.1247715457679 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999896827 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113568cj2 113568db2 |
Quadratic twists by: -4 13 |