Atkin-Lehner |
2+ 3- 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
82992x |
Isogeny class |
Conductor |
82992 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
247956194304 = 210 · 34 · 72 · 132 · 192 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2304,-35964] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:84:1] [-21:60:1] |
Generators of the group modulo torsion |
j |
1321477161988/242144721 |
j-invariant |
L |
12.035408905336 |
L(r)(E,1)/r! |
Ω |
0.69777330183964 |
Real period |
R |
2.1560385145341 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999148 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
41496a2 |
Quadratic twists by: -4 |