Atkin-Lehner |
2+ 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
8722f |
Isogeny class |
Conductor |
8722 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-69086962 = -1 · 2 · 72 · 893 |
Discriminant |
Eigenvalues |
2+ 2 0 7- -3 -2 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-270,1646] |
[a1,a2,a3,a4,a6] |
j |
-44681709625/1409938 |
j-invariant |
L |
1.9424268536588 |
L(r)(E,1)/r! |
Ω |
1.9424268536588 |
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 |
69776u1 78498bw1 8722b1 |
Quadratic twists by: -4 -3 -7 |