Atkin-Lehner |
2+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
6160d |
Isogeny class |
Conductor |
6160 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
131183360000 = 211 · 54 · 7 · 114 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 11- -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1307,-5206] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:60:1] |
Generators of the group modulo torsion |
j |
120564797922/64054375 |
j-invariant |
L |
3.9833889083525 |
L(r)(E,1)/r! |
Ω |
0.84341240834654 |
Real period |
R |
1.1807358028327 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3080e3 24640z3 55440g3 30800l3 |
Quadratic twists by: -4 8 -3 5 |