Atkin-Lehner |
2- 3+ 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150ee |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
3441474135000000 = 26 · 39 · 57 · 112 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- 0 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1154630,477822997] |
[a1,a2,a3,a4,a6] |
Generators |
[589:-1645:1] |
Generators of the group modulo torsion |
j |
553529221679043/11190080 |
j-invariant |
L |
10.800329973582 |
L(r)(E,1)/r! |
Ω |
0.41067132939315 |
Real period |
R |
0.54790012925323 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997566 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84150c2 16830i2 |
Quadratic twists by: -3 5 |