Atkin-Lehner |
2+ 3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
23688l |
Isogeny class |
Conductor |
23688 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
458975455819776 = 211 · 38 · 7 · 474 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-30819,1809470] |
[a1,a2,a3,a4,a6] |
j |
2168312432834/307419903 |
j-invariant |
L |
4.0497619599393 |
L(r)(E,1)/r! |
Ω |
0.50622024499242 |
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 |
47376i3 7896i3 |
Quadratic twists by: -4 -3 |