Atkin-Lehner |
2+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
4114b |
Isogeny class |
Conductor |
4114 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
34814716772 = 22 · 116 · 173 |
Discriminant |
Eigenvalues |
2+ -2 0 4 11- -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-12466,534576] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:1056:1] |
Generators of the group modulo torsion |
j |
120920208625/19652 |
j-invariant |
L |
2.1417680440097 |
L(r)(E,1)/r! |
Ω |
1.1241398562137 |
Real period |
R |
0.63508350619395 |
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 |
32912bb3 37026ba3 102850ce3 34a3 |
Quadratic twists by: -4 -3 5 -11 |