Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
24336bp |
Isogeny class |
Conductor |
24336 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-68976790272 = -1 · 28 · 313 · 132 |
Discriminant |
Eigenvalues |
2- 3- 2 1 -2 13+ 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-624,-13988] |
[a1,a2,a3,a4,a6] |
Generators |
[66:482:1] |
Generators of the group modulo torsion |
j |
-851968/2187 |
j-invariant |
L |
6.6351211896179 |
L(r)(E,1)/r! |
Ω |
0.44438983638781 |
Real period |
R |
3.7327143007764 |
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 |
6084g1 97344fi1 8112bf1 24336bu1 |
Quadratic twists by: -4 8 -3 13 |