Atkin-Lehner |
2+ 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
107712bz |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
261987785455435776 = 220 · 310 · 114 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 11- 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-234444,-36091280] |
[a1,a2,a3,a4,a6] |
Generators |
[33490:2151765:8] |
Generators of the group modulo torsion |
j |
7457162887153/1370924676 |
j-invariant |
L |
10.182271827417 |
L(r)(E,1)/r! |
Ω |
0.21971593317763 |
Real period |
R |
5.7928615183701 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032603 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
107712dm2 3366c2 35904bg2 |
Quadratic twists by: -4 8 -3 |