Atkin-Lehner |
5+ 7+ 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
23345c |
Isogeny class |
Conductor |
23345 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
45121332725 = 52 · 76 · 232 · 29 |
Discriminant |
Eigenvalues |
-1 2 5+ 7+ 6 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4031,-99656] |
[a1,a2,a3,a4,a6] |
j |
7243839850989169/45121332725 |
j-invariant |
L |
1.1987779463315 |
L(r)(E,1)/r! |
Ω |
0.59938897316572 |
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 |
116725k2 |
Quadratic twists by: 5 |