Atkin-Lehner |
2- 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800ep |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2994750000000000 = -1 · 210 · 32 · 512 · 113 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11+ -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,31867,1451637] |
[a1,a2,a3,a4,a6] |
j |
223673040896/187171875 |
j-invariant |
L |
1.1673025557529 |
L(r)(E,1)/r! |
Ω |
0.29182563904308 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52800dg3 13200cm3 10560cj3 |
Quadratic twists by: -4 8 5 |