Atkin-Lehner |
2+ 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
116160dw |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
132478156800 = 214 · 35 · 52 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 11+ 4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1425585,654670575] |
[a1,a2,a3,a4,a6] |
Generators |
[690:-45:1] |
Generators of the group modulo torsion |
j |
14692827276345584/6075 |
j-invariant |
L |
9.1156629616926 |
L(r)(E,1)/r! |
Ω |
0.62702167115064 |
Real period |
R |
0.72690174852894 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999771754 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116160gd2 14520a2 116160dv2 |
Quadratic twists by: -4 8 -11 |