Atkin-Lehner |
2+ 3+ 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
38640d |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2.0329705814327E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-93934856,350444105856] |
[a1,a2,a3,a4,a6] |
j |
89516703758060574923008036/1985322833430374025 |
j-invariant |
L |
0.54410340103546 |
L(r)(E,1)/r! |
Ω |
0.1360258502643 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19320x2 115920bj2 |
Quadratic twists by: -4 -3 |