Atkin-Lehner |
2- 3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
4830bc |
Isogeny class |
Conductor |
4830 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
49057344000000 = 212 · 32 · 56 · 7 · 233 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-249518576,-1517079678720] |
[a1,a2,a3,a4,a6] |
j |
1718036403880129446396978632449/49057344000000 |
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 |
2 |
Number of elements in the torsion subgroup |
Twists |
38640bi3 14490bb3 24150d3 33810ci3 |
Quadratic twists by: -4 -3 5 -7 |