Atkin-Lehner |
3- 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
8673g |
Isogeny class |
Conductor |
8673 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
52416 |
Modular degree for the optimal curve |
Δ |
-1886062719874347 = -1 · 33 · 78 · 594 |
Discriminant |
Eigenvalues |
-2 3- 2 7+ -2 5 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,25268,-1397252] |
[a1,a2,a3,a4,a6] |
j |
309481582592/327168747 |
j-invariant |
L |
1.5222128941066 |
L(r)(E,1)/r! |
Ω |
0.25370214901777 |
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 |
26019g1 8673e1 |
Quadratic twists by: -3 -7 |