Atkin-Lehner |
2- 3+ 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150ej |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
195538303125000 = 23 · 39 · 58 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11- -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-315605,68319397] |
[a1,a2,a3,a4,a6] |
Generators |
[-251:11600:1] |
Generators of the group modulo torsion |
j |
11304275372307/635800 |
j-invariant |
L |
8.71150874702 |
L(r)(E,1)/r! |
Ω |
0.53515949735274 |
Real period |
R |
1.3565284112714 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999935387 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84150h2 16830n2 |
Quadratic twists by: -3 5 |