Atkin-Lehner |
2- 3+ 19- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
99864i |
Isogeny class |
Conductor |
99864 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
9586944 = 28 · 33 · 19 · 73 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 0 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22191,1272370] |
[a1,a2,a3,a4,a6] |
Generators |
[87:-16:1] |
Generators of the group modulo torsion |
j |
174843947421936/1387 |
j-invariant |
L |
3.7846018109085 |
L(r)(E,1)/r! |
Ω |
1.591243338793 |
Real period |
R |
1.1891964401305 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999555052 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99864b2 |
Quadratic twists by: -3 |