Atkin-Lehner |
2+ 5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
103600i |
Isogeny class |
Conductor |
103600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
139296416000000 = 211 · 56 · 76 · 37 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ -4 6 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-36608,2647712] |
[a1,a2,a3,a4,a6] |
j |
169556172914/4353013 |
j-invariant |
L |
2.321903106421 |
L(r)(E,1)/r! |
Ω |
0.58047572020814 |
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 |
51800s2 4144e2 |
Quadratic twists by: -4 5 |