Atkin-Lehner |
2+ 23+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
86848a |
Isogeny class |
Conductor |
86848 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-327938048 = -1 · 212 · 23 · 592 |
Discriminant |
Eigenvalues |
2+ 0 -2 -2 0 -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,44,-864] |
[a1,a2,a3,a4,a6] |
Generators |
[10:24:1] |
Generators of the group modulo torsion |
j |
2299968/80063 |
j-invariant |
L |
2.9747918187707 |
L(r)(E,1)/r! |
Ω |
0.82492433282928 |
Real period |
R |
1.803069507836 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999905133 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86848k2 43424b1 |
Quadratic twists by: -4 8 |