Atkin-Lehner |
2+ 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
107712cc |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-6.7545544971322E+26 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 11- 4 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23966220,1251236846576] |
[a1,a2,a3,a4,a6] |
j |
-7966267523043306625/3534510366354604032 |
j-invariant |
L |
1.9864597653536 |
L(r)(E,1)/r! |
Ω |
0.041384576943961 |
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 |
107712ds2 3366e2 35904a2 |
Quadratic twists by: -4 8 -3 |