Atkin-Lehner |
2+ 3- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
86688u |
Isogeny class |
Conductor |
86688 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
337042944 = 29 · 37 · 7 · 43 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-86691,9824470] |
[a1,a2,a3,a4,a6] |
Generators |
[270:2470:1] |
Generators of the group modulo torsion |
j |
193040423122184/903 |
j-invariant |
L |
5.7476096459681 |
L(r)(E,1)/r! |
Ω |
1.1552348135461 |
Real period |
R |
4.9752739292159 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999930574 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86688bp4 28896t4 |
Quadratic twists by: -4 -3 |