Atkin-Lehner |
2+ 3- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
5166j |
Isogeny class |
Conductor |
5166 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
3766014 = 2 · 38 · 7 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 0 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-247968,-47465190] |
[a1,a2,a3,a4,a6] |
j |
2313045024604457473/5166 |
j-invariant |
L |
0.85577688959088 |
L(r)(E,1)/r! |
Ω |
0.21394422239772 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41328ca4 1722o4 129150da4 36162bf4 |
Quadratic twists by: -4 -3 5 -7 |