Atkin-Lehner |
2+ 11- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
128986l |
Isogeny class |
Conductor |
128986 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-473998288038757768 = -1 · 23 · 116 · 138 · 41 |
Discriminant |
Eigenvalues |
2+ 0 -2 0 11- 13- 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,139672,26300456] |
[a1,a2,a3,a4,a6] |
Generators |
[10894:413335:8] |
Generators of the group modulo torsion |
j |
170095924504143/267559676488 |
j-invariant |
L |
3.9631839580319 |
L(r)(E,1)/r! |
Ω |
0.2013151632733 |
Real period |
R |
4.9216164907522 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999996175157 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1066e4 |
Quadratic twists by: -11 |