Atkin-Lehner |
2- 13- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
65728z |
Isogeny class |
Conductor |
65728 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
-24990050615296 = -1 · 216 · 136 · 79 |
Discriminant |
Eigenvalues |
2- -2 -2 2 4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23329,1384671] |
[a1,a2,a3,a4,a6] |
Generators |
[31:832:1] |
Generators of the group modulo torsion |
j |
-21426476889892/381317911 |
j-invariant |
L |
3.6123820532079 |
L(r)(E,1)/r! |
Ω |
0.67248664690387 |
Real period |
R |
0.89527974764935 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999501 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65728l1 16432a1 |
Quadratic twists by: -4 8 |