Atkin-Lehner |
2+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
33320a |
Isogeny class |
Conductor |
33320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
59710425205760 = 210 · 5 · 79 · 172 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- -2 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34643,2453822] |
[a1,a2,a3,a4,a6] |
j |
111272508/1445 |
j-invariant |
L |
1.2532167054158 |
L(r)(E,1)/r! |
Ω |
0.62660835270972 |
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 |
66640b2 33320e2 |
Quadratic twists by: -4 -7 |