Atkin-Lehner |
2+ 3- 41- |
Signs for the Atkin-Lehner involutions |
Class |
23616w |
Isogeny class |
Conductor |
23616 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-9638792183808 = -1 · 214 · 315 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 -5 -4 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,384,-149344] |
[a1,a2,a3,a4,a6] |
Generators |
[145:1719:1] |
Generators of the group modulo torsion |
j |
524288/807003 |
j-invariant |
L |
2.7705476565519 |
L(r)(E,1)/r! |
Ω |
0.33807950496094 |
Real period |
R |
4.0974794625188 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23616cf1 1476b1 7872c1 |
Quadratic twists by: -4 8 -3 |