Atkin-Lehner |
2- 3- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
22218be |
Isogeny class |
Conductor |
22218 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-3706772177290854 = -1 · 2 · 3 · 73 · 239 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 0 5 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-14294,3001002] |
[a1,a2,a3,a4,a6] |
j |
-2181825073/25039686 |
j-invariant |
L |
6.7768769570934 |
L(r)(E,1)/r! |
Ω |
0.37649316428297 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66654m2 966k2 |
Quadratic twists by: -3 -23 |