Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
82368dc |
Isogeny class |
Conductor |
82368 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1644724224 = 215 · 33 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 11- 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1356,19120] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:195:1] |
Generators of the group modulo torsion |
j |
311665752/1859 |
j-invariant |
L |
6.1093746715083 |
L(r)(E,1)/r! |
Ω |
1.506270055912 |
Real period |
R |
2.0279811873771 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999997562 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82368cs2 41184d2 82368cq2 |
Quadratic twists by: -4 8 -3 |