Atkin-Lehner |
2- 3- 29- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
31842bb |
Isogeny class |
Conductor |
31842 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-585429849162 = -1 · 2 · 36 · 29 · 614 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 -4 -2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2086,2611] |
[a1,a2,a3,a4,a6] |
j |
1377635305383/803058778 |
j-invariant |
L |
2.2182409667965 |
L(r)(E,1)/r! |
Ω |
0.55456024169913 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3538a4 |
Quadratic twists by: -3 |