Atkin-Lehner |
2- 5+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
109120y |
Isogeny class |
Conductor |
109120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
960256000000 = 214 · 56 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 11- -4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-80188,-8739888] |
[a1,a2,a3,a4,a6] |
Generators |
[-163:3:1] |
Generators of the group modulo torsion |
j |
3480422102131536/58609375 |
j-invariant |
L |
3.525119853754 |
L(r)(E,1)/r! |
Ω |
0.28370869628249 |
Real period |
R |
3.1062846379149 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999833573 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109120d2 27280o2 |
Quadratic twists by: -4 8 |