Atkin-Lehner |
2- 11- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
128986ba |
Isogeny class |
Conductor |
128986 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
2358720 |
Modular degree for the optimal curve |
Δ |
-81188980067926016 = -1 · 221 · 116 · 13 · 412 |
Discriminant |
Eigenvalues |
2- -3 1 -3 11- 13- -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-65847,15189903] |
[a1,a2,a3,a4,a6] |
Generators |
[3:3870:1] [323:5086:1] |
Generators of the group modulo torsion |
j |
-17822531769561/45829062656 |
j-invariant |
L |
10.918601924345 |
L(r)(E,1)/r! |
Ω |
0.30249884475122 |
Real period |
R |
0.42969868641611 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000785 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1066c1 |
Quadratic twists by: -11 |