Atkin-Lehner |
2- 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
86592dq |
Isogeny class |
Conductor |
86592 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
159744 |
Modular degree for the optimal curve |
Δ |
1759571607552 = 218 · 3 · 113 · 412 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 11- 0 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4449,-96225] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:132:1] |
Generators of the group modulo torsion |
j |
37159393753/6712233 |
j-invariant |
L |
6.1302986878341 |
L(r)(E,1)/r! |
Ω |
0.59181753872318 |
Real period |
R |
1.7264044750713 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006802 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86592i1 21648p1 |
Quadratic twists by: -4 8 |