Atkin-Lehner |
2+ 5+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
125120d |
Isogeny class |
Conductor |
125120 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-306055531520 = -1 · 210 · 5 · 173 · 233 |
Discriminant |
Eigenvalues |
2+ -1 5+ 2 3 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1099,22261] |
[a1,a2,a3,a4,a6] |
Generators |
[53:476:1] |
Generators of the group modulo torsion |
j |
143225913344/298882355 |
j-invariant |
L |
4.9482413684037 |
L(r)(E,1)/r! |
Ω |
0.67105286344984 |
Real period |
R |
3.6869236874901 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999449928 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125120bs2 7820d2 |
Quadratic twists by: -4 8 |