Atkin-Lehner |
2- 3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
4830bc |
Isogeny class |
Conductor |
4830 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
9.1805381787656E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-249518896,-1517075593024] |
[a1,a2,a3,a4,a6] |
j |
1718043013877225552292911401729/9180538178765625000000 |
j-invariant |
L |
4.1024905500704 |
L(r)(E,1)/r! |
Ω |
0.037986023611763 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
38640bi6 14490bb6 24150d6 33810ci6 |
Quadratic twists by: -4 -3 5 -7 |