Atkin-Lehner |
2- 3- 5- 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
117810ej |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1124214884100 = 22 · 38 · 52 · 72 · 112 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-23567,1397459] |
[a1,a2,a3,a4,a6] |
j |
1985600222457769/1542132900 |
j-invariant |
L |
6.9020488203157 |
L(r)(E,1)/r! |
Ω |
0.86275602798522 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
39270bf2 |
Quadratic twists by: -3 |