Atkin-Lehner |
2- 3- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
44880co |
Isogeny class |
Conductor |
44880 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-13544864827084800 = -1 · 212 · 312 · 52 · 114 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,6864,5597460] |
[a1,a2,a3,a4,a6] |
Generators |
[-84:2106:1] |
Generators of the group modulo torsion |
j |
8730363285071/3306851764425 |
j-invariant |
L |
7.5166346643808 |
L(r)(E,1)/r! |
Ω |
0.30863155960164 |
Real period |
R |
2.029559850716 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2805a4 |
Quadratic twists by: -4 |