Atkin-Lehner |
2- 13- 79- |
Signs for the Atkin-Lehner involutions |
Class |
65728bb |
Isogeny class |
Conductor |
65728 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-65728 = -1 · 26 · 13 · 79 |
Discriminant |
Eigenvalues |
2- 0 0 1 -4 13- -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,10,-2] |
[a1,a2,a3,a4,a6] |
Generators |
[1:3:1] [57:431:1] |
Generators of the group modulo torsion |
j |
1728000/1027 |
j-invariant |
L |
10.087778386519 |
L(r)(E,1)/r! |
Ω |
2.0366194159599 |
Real period |
R |
4.9531975917841 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65728t1 32864e1 |
Quadratic twists by: -4 8 |