Atkin-Lehner |
2- 3- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
108576bn |
Isogeny class |
Conductor |
108576 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
4590810432 = 26 · 38 · 13 · 292 |
Discriminant |
Eigenvalues |
2- 3- -4 -2 2 13- -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-417,340] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:54:1] [-9:58:1] |
Generators of the group modulo torsion |
j |
171879616/98397 |
j-invariant |
L |
8.4436019487885 |
L(r)(E,1)/r! |
Ω |
1.1772944001479 |
Real period |
R |
1.7930098765048 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000844 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108576p1 36192t1 |
Quadratic twists by: -4 -3 |