Atkin-Lehner |
2+ 3+ 7- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
82992i |
Isogeny class |
Conductor |
82992 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-12346675669665792 = -1 · 211 · 320 · 7 · 13 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -4 13- 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,54088,-2284848] |
[a1,a2,a3,a4,a6] |
Generators |
[4782:96670:27] |
Generators of the group modulo torsion |
j |
8544536300650894/6028650229329 |
j-invariant |
L |
6.6266300958593 |
L(r)(E,1)/r! |
Ω |
0.22583734890251 |
Real period |
R |
7.3356224332507 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000026311 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41496o3 |
Quadratic twists by: -4 |