Atkin-Lehner |
2+ 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
22848n |
Isogeny class |
Conductor |
22848 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8960 |
Modular degree for the optimal curve |
Δ |
-116593344 = -1 · 26 · 37 · 72 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- 3 -1 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-169,1051] |
[a1,a2,a3,a4,a6] |
j |
-8390176768/1821771 |
j-invariant |
L |
3.572216455117 |
L(r)(E,1)/r! |
Ω |
1.7861082275585 |
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 |
22848cm1 357d1 68544cq1 |
Quadratic twists by: -4 8 -3 |