Atkin-Lehner |
2- 43- 47- |
Signs for the Atkin-Lehner involutions |
Class |
129344bg |
Isogeny class |
Conductor |
129344 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-38348809503244288 = -1 · 233 · 43 · 473 |
Discriminant |
Eigenvalues |
2- -2 0 1 0 -2 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,83487,1628575] |
[a1,a2,a3,a4,a6] |
j |
245490762458375/146289098752 |
j-invariant |
L |
1.3356885323478 |
L(r)(E,1)/r! |
Ω |
0.22261472666895 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129344e2 32336i2 |
Quadratic twists by: -4 8 |