Atkin-Lehner |
2- 13- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
65728z |
Isogeny class |
Conductor |
65728 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
1797190713344 = 217 · 133 · 792 |
Discriminant |
Eigenvalues |
2- -2 -2 2 4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-374849,88210111] |
[a1,a2,a3,a4,a6] |
Generators |
[369:520:1] |
Generators of the group modulo torsion |
j |
44441019591676706/13711477 |
j-invariant |
L |
3.6123820532079 |
L(r)(E,1)/r! |
Ω |
0.67248664690387 |
Real period |
R |
1.7905594952987 |
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 |
65728l2 16432a2 |
Quadratic twists by: -4 8 |