Atkin-Lehner |
2- 3- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
107712dz |
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 |
1.3611651455442 |
L(r)(E,1)/r! |
Ω |
0.17014568864831 |
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 |
107712cn2 26928bw2 35904cw2 |
Quadratic twists by: -4 8 -3 |