Atkin-Lehner |
2- 11+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
128986t |
Isogeny class |
Conductor |
128986 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
228096 |
Modular degree for the optimal curve |
Δ |
-1452898304 = -1 · 211 · 113 · 13 · 41 |
Discriminant |
Eigenvalues |
2- -3 -1 -2 11+ 13- -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4533,118605] |
[a1,a2,a3,a4,a6] |
Generators |
[47:-112:1] [-41:504:1] |
Generators of the group modulo torsion |
j |
-7737719666139/1091584 |
j-invariant |
L |
9.9170888954173 |
L(r)(E,1)/r! |
Ω |
1.4607350637731 |
Real period |
R |
0.30859584272492 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999993481 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128986b1 |
Quadratic twists by: -11 |