Atkin-Lehner |
2- 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
40222o |
Isogeny class |
Conductor |
40222 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-6767438602188992 = -1 · 26 · 73 · 137 · 173 |
Discriminant |
Eigenvalues |
2- 1 0 7+ -3 13+ 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,47232,-231232] |
[a1,a2,a3,a4,a6] |
j |
2414193248375/1402052288 |
j-invariant |
L |
2.9940078995212 |
L(r)(E,1)/r! |
Ω |
0.2495006582927 |
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 |
3094b2 |
Quadratic twists by: 13 |