Atkin-Lehner |
2+ 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
20880i |
Isogeny class |
Conductor |
20880 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
6164715600 = 24 · 312 · 52 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1585578,768474623] |
[a1,a2,a3,a4,a6] |
j |
37795407757392787456/528525 |
j-invariant |
L |
0.6830859674971 |
L(r)(E,1)/r! |
Ω |
0.68308596749711 |
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 |
10440d1 83520gf1 6960j1 104400m1 |
Quadratic twists by: -4 8 -3 5 |