Atkin-Lehner |
2- 3- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
6624f |
Isogeny class |
Conductor |
6624 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
-7040530368 = -1 · 26 · 314 · 23 |
Discriminant |
Eigenvalues |
2- 3- -4 -4 -6 6 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-417,-5200] |
[a1,a2,a3,a4,a6] |
Generators |
[31:108:1] |
Generators of the group modulo torsion |
j |
-171879616/150903 |
j-invariant |
L |
2.3868504461016 |
L(r)(E,1)/r! |
Ω |
0.50954958047707 |
Real period |
R |
2.3421179582435 |
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 |
6624j1 13248bj1 2208c1 |
Quadratic twists by: -4 8 -3 |