Atkin-Lehner |
2+ 3- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
86592bk |
Isogeny class |
Conductor |
86592 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
22699573248 = 224 · 3 · 11 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 11- -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1633,23807] |
[a1,a2,a3,a4,a6] |
Generators |
[314:1179:8] |
Generators of the group modulo torsion |
j |
1838265625/86592 |
j-invariant |
L |
6.0081466811851 |
L(r)(E,1)/r! |
Ω |
1.1899640632837 |
Real period |
R |
5.0490152305397 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003114 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86592bs1 2706a1 |
Quadratic twists by: -4 8 |