Atkin-Lehner |
2+ 3- 7+ 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
22134r |
Isogeny class |
Conductor |
22134 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
5734197898002 = 2 · 36 · 72 · 174 · 312 |
Discriminant |
Eigenvalues |
2+ 3- -4 7+ 2 -2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-9083,311852] |
[a1,a2,a3,a4,a6] |
Generators |
[-66:823:1] |
Generators of the group modulo torsion |
j |
82859616757408681/5734197898002 |
j-invariant |
L |
2.9899404054062 |
L(r)(E,1)/r! |
Ω |
0.74456029738061 |
Real period |
R |
0.16732137163846 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66402t2 |
Quadratic twists by: -3 |