Atkin-Lehner |
2+ 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20592a |
Isogeny class |
Conductor |
20592 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
69654636260352 = 210 · 39 · 112 · 134 |
Discriminant |
Eigenvalues |
2+ 3+ -4 2 11+ 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17307,-778950] |
[a1,a2,a3,a4,a6] |
Generators |
[-93:162:1] |
Generators of the group modulo torsion |
j |
28444469868/3455881 |
j-invariant |
L |
3.8078931135288 |
L(r)(E,1)/r! |
Ω |
0.41955237301028 |
Real period |
R |
2.2690213180104 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10296h2 82368di2 20592b2 |
Quadratic twists by: -4 8 -3 |