Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
50400b |
Isogeny class |
Conductor |
50400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
423360000000 = 212 · 33 · 57 · 72 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2700,-44000] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:100:1] |
Generators of the group modulo torsion |
j |
1259712/245 |
j-invariant |
L |
5.8614507765939 |
L(r)(E,1)/r! |
Ω |
0.67127355161619 |
Real period |
R |
0.5457397698088 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999827 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50400ck2 100800f1 50400ce2 10080be2 |
Quadratic twists by: -4 8 -3 5 |