Atkin-Lehner |
2- 13+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
65728s |
Isogeny class |
Conductor |
65728 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
-16826368 = -1 · 214 · 13 · 79 |
Discriminant |
Eigenvalues |
2- -2 0 3 -2 13+ -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-133,-669] |
[a1,a2,a3,a4,a6] |
Generators |
[996:2283:64] |
Generators of the group modulo torsion |
j |
-16000000/1027 |
j-invariant |
L |
4.1239203239877 |
L(r)(E,1)/r! |
Ω |
0.69988451397164 |
Real period |
R |
5.8922868583632 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998563 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65728c1 16432d1 |
Quadratic twists by: -4 8 |