Atkin-Lehner |
3- 5- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
82365o |
Isogeny class |
Conductor |
82365 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
1.3592243599363E+20 |
Discriminant |
Eigenvalues |
1 3- 5- -4 -4 -6 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2844778,1759321433] |
[a1,a2,a3,a4,a6] |
Generators |
[-1727:39878:1] |
Generators of the group modulo torsion |
j |
105481210840266169/5631156807615 |
j-invariant |
L |
5.7668470934502 |
L(r)(E,1)/r! |
Ω |
0.1818586213233 |
Real period |
R |
1.585530300541 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005196 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4845b3 |
Quadratic twists by: 17 |