Atkin-Lehner |
2+ 3+ 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
19320d |
Isogeny class |
Conductor |
19320 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-53719263400320000 = -1 · 210 · 34 · 54 · 7 · 236 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 0 -4 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,85680,5554332] |
[a1,a2,a3,a4,a6] |
j |
67929287623001276/52460218164375 |
j-invariant |
L |
1.8183891835914 |
L(r)(E,1)/r! |
Ω |
0.22729864794893 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38640bb1 57960bo1 96600ci1 |
Quadratic twists by: -4 -3 5 |