Atkin-Lehner |
3+ 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
82365b |
Isogeny class |
Conductor |
82365 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
156043264349194965 = 36 · 5 · 179 · 192 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 0 4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-183521,23471138] |
[a1,a2,a3,a4,a6] |
Generators |
[-466:3073:1] |
Generators of the group modulo torsion |
j |
5764224257/1315845 |
j-invariant |
L |
3.1085997871567 |
L(r)(E,1)/r! |
Ω |
0.30533629445558 |
Real period |
R |
5.0904524729459 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999896211 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82365p2 |
Quadratic twists by: 17 |