Atkin-Lehner |
3+ 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
3927d |
Isogeny class |
Conductor |
3927 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1510137598013239041 = 35 · 716 · 11 · 17 |
Discriminant |
Eigenvalues |
-1 3+ 2 7- 11+ -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-362452,-59804284] |
[a1,a2,a3,a4,a6] |
Generators |
[-185:1072:1] |
Generators of the group modulo torsion |
j |
5265932508006615127873/1510137598013239041 |
j-invariant |
L |
2.2579223888122 |
L(r)(E,1)/r! |
Ω |
0.19882711972083 |
Real period |
R |
2.8390523284531 |
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 |
62832bq4 11781h3 98175t4 27489r4 |
Quadratic twists by: -4 -3 5 -7 |