Atkin-Lehner |
2+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
5824g |
Isogeny class |
Conductor |
5824 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-2337800192 = -1 · 219 · 73 · 13 |
Discriminant |
Eigenvalues |
2+ -3 4 7+ -1 13- 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,212,-2000] |
[a1,a2,a3,a4,a6] |
j |
4019679/8918 |
j-invariant |
L |
1.5099320631349 |
L(r)(E,1)/r! |
Ω |
0.75496603156744 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5824bf1 182d1 52416ci1 40768bb1 |
Quadratic twists by: -4 8 -3 -7 |