Atkin-Lehner |
2+ 3- 41- |
Signs for the Atkin-Lehner involutions |
Class |
23616s |
Isogeny class |
Conductor |
23616 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-16861460460208128 = -1 · 221 · 314 · 412 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 -4 4 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15276,-6289616] |
[a1,a2,a3,a4,a6] |
Generators |
[13334:1539648:1] |
Generators of the group modulo torsion |
j |
-2062933417/88232328 |
j-invariant |
L |
4.9319836157854 |
L(r)(E,1)/r! |
Ω |
0.17068500062038 |
Real period |
R |
3.6119046766408 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23616cc2 738g2 7872j2 |
Quadratic twists by: -4 8 -3 |