Atkin-Lehner |
2+ 3- 11- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
105534r |
Isogeny class |
Conductor |
105534 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1331193950658 = 2 · 38 · 114 · 132 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 11- 13+ 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3051,-32805] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:95:1] |
Generators of the group modulo torsion |
j |
4309261738417/1826054802 |
j-invariant |
L |
5.6758676253497 |
L(r)(E,1)/r! |
Ω |
0.66722971809815 |
Real period |
R |
1.063327119361 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999869115 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35178s2 |
Quadratic twists by: -3 |