Atkin-Lehner |
2+ 13- 79- |
Signs for the Atkin-Lehner involutions |
Class |
65728j |
Isogeny class |
Conductor |
65728 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-55998152704 = -1 · 222 · 132 · 79 |
Discriminant |
Eigenvalues |
2+ 0 2 2 0 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1004,-16720] |
[a1,a2,a3,a4,a6] |
Generators |
[14488:1743860:1] |
Generators of the group modulo torsion |
j |
-426957777/213616 |
j-invariant |
L |
7.364609153691 |
L(r)(E,1)/r! |
Ω |
0.41424182085802 |
Real period |
R |
8.8892632068072 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999226 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65728w1 2054e1 |
Quadratic twists by: -4 8 |