Atkin-Lehner |
2- 3- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
23616bs |
Isogeny class |
Conductor |
23616 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
32932539961344 = 212 · 314 · 412 |
Discriminant |
Eigenvalues |
2- 3- -2 4 -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-79716,-8658560] |
[a1,a2,a3,a4,a6] |
Generators |
[-804066:318136:4913] |
Generators of the group modulo torsion |
j |
18761723501248/11029041 |
j-invariant |
L |
4.8982116716508 |
L(r)(E,1)/r! |
Ω |
0.28413746645627 |
Real period |
R |
8.6194399716813 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
23616bt2 11808g1 7872bh2 |
Quadratic twists by: -4 8 -3 |