Atkin-Lehner |
3- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
94221o |
Isogeny class |
Conductor |
94221 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5806080 |
Modular degree for the optimal curve |
Δ |
-2.5782221577892E+22 |
Discriminant |
Eigenvalues |
2 3- 1 -1 3 2 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-7720707,-11307639371] |
[a1,a2,a3,a4,a6] |
j |
-1484040633094144/751746132499 |
j-invariant |
L |
5.6608490766934 |
L(r)(E,1)/r! |
Ω |
0.044225384002675 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10469d1 4959g1 |
Quadratic twists by: -3 -19 |