Atkin-Lehner |
2+ 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
20880l |
Isogeny class |
Conductor |
20880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
2191898880 = 28 · 310 · 5 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-543,4318] |
[a1,a2,a3,a4,a6] |
j |
94875856/11745 |
j-invariant |
L |
2.8234750898679 |
L(r)(E,1)/r! |
Ω |
1.4117375449339 |
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 |
10440t1 83520gm1 6960t1 104400x1 |
Quadratic twists by: -4 8 -3 5 |