Atkin-Lehner |
2+ 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
79200cc |
Isogeny class |
Conductor |
79200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
6351048000 = 26 · 38 · 53 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 11+ -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-705,-6100] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:18:1] |
Generators of the group modulo torsion |
j |
6644672/1089 |
j-invariant |
L |
5.8377237938885 |
L(r)(E,1)/r! |
Ω |
0.93680915956261 |
Real period |
R |
1.5578743375701 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999971831 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79200en1 26400bq1 79200ei1 |
Quadratic twists by: -4 -3 5 |