Atkin-Lehner |
2- 7+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
55328d |
Isogeny class |
Conductor |
55328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-7081984 = -1 · 212 · 7 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 0 3 7+ -1 13- 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4,128] |
[a1,a2,a3,a4,a6] |
Generators |
[2:12:1] |
Generators of the group modulo torsion |
j |
1728/1729 |
j-invariant |
L |
6.6722238834524 |
L(r)(E,1)/r! |
Ω |
1.8434800328691 |
Real period |
R |
0.90484081254034 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000119 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55328f1 110656z1 |
Quadratic twists by: -4 8 |