Atkin-Lehner |
2- 3+ 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
48720bp |
Isogeny class |
Conductor |
48720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
37716295680 = 216 · 34 · 5 · 72 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 4 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2560,-48128] |
[a1,a2,a3,a4,a6] |
j |
453161802241/9208080 |
j-invariant |
L |
2.6879540838781 |
L(r)(E,1)/r! |
Ω |
0.67198852095514 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6090bc1 |
Quadratic twists by: -4 |