Atkin-Lehner |
2+ 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
107712cn |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.5041435822419E+19 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 11- 0 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-706476,131985200] |
[a1,a2,a3,a4,a6] |
j |
204055591784617/78708537864 |
j-invariant |
L |
1.6148596525032 |
L(r)(E,1)/r! |
Ω |
0.2018574468 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712dz2 3366n2 35904f2 |
Quadratic twists by: -4 8 -3 |