Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160ch |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
4179636781056000000 = 224 · 32 · 56 · 116 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2582785,1595476225] |
[a1,a2,a3,a4,a6] |
Generators |
[-575:53760:1] |
Generators of the group modulo torsion |
j |
4102915888729/9000000 |
j-invariant |
L |
7.4528119752729 |
L(r)(E,1)/r! |
Ω |
0.24697002795285 |
Real period |
R |
2.5147491246581 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000048221 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
116160jn6 3630w6 960e6 |
Quadratic twists by: -4 8 -11 |