Atkin-Lehner |
2+ 3- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
107712bk |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1657543636084064256 = 223 · 38 · 116 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 11+ 0 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1719084,865334320] |
[a1,a2,a3,a4,a6] |
Generators |
[3830:224640:1] |
Generators of the group modulo torsion |
j |
2940001530995593/8673562656 |
j-invariant |
L |
7.7534952205655 |
L(r)(E,1)/r! |
Ω |
0.26720835003177 |
Real period |
R |
3.6270831343904 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028913 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712ez2 3366q2 35904bk2 |
Quadratic twists by: -4 8 -3 |