Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
6624c |
Isogeny class |
Conductor |
6624 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-782281152 = -1 · 26 · 312 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 4 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,195,844] |
[a1,a2,a3,a4,a6] |
Generators |
[8:54:1] |
Generators of the group modulo torsion |
j |
17576000/16767 |
j-invariant |
L |
4.040777733168 |
L(r)(E,1)/r! |
Ω |
1.0457278149658 |
Real period |
R |
1.9320408596477 |
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 |
6624e1 13248q2 2208j1 |
Quadratic twists by: -4 8 -3 |