Atkin-Lehner |
2+ 3+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
111552y |
Isogeny class |
Conductor |
111552 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
65314799026176 = 216 · 3 · 7 · 834 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -4 -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10977,215265] |
[a1,a2,a3,a4,a6] |
Generators |
[112:615:1] |
Generators of the group modulo torsion |
j |
2232206341348/996624741 |
j-invariant |
L |
5.5243859015415 |
L(r)(E,1)/r! |
Ω |
0.55695714658997 |
Real period |
R |
4.9594353213799 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001983 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111552cw3 13944l3 |
Quadratic twists by: -4 8 |