Atkin-Lehner |
2+ 3- 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
86394y |
Isogeny class |
Conductor |
86394 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-24042756628968 = -1 · 23 · 3 · 73 · 112 · 176 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 11- -5 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,4364,-207814] |
[a1,a2,a3,a4,a6] |
j |
75986355677375/198700468008 |
j-invariant |
L |
2.0825952667513 |
L(r)(E,1)/r! |
Ω |
0.34709921873989 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86394cs2 |
Quadratic twists by: -11 |