Atkin-Lehner |
2+ 3+ 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
5640a |
Isogeny class |
Conductor |
5640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
127885962240 = 210 · 312 · 5 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5256,147420] |
[a1,a2,a3,a4,a6] |
j |
15684564006436/124888635 |
j-invariant |
L |
1.0476919145926 |
L(r)(E,1)/r! |
Ω |
1.0476919145926 |
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 |
11280f3 45120bn4 16920n3 28200x4 |
Quadratic twists by: -4 8 -3 5 |