Atkin-Lehner |
2+ 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800ch |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-386718750000000000 = -1 · 210 · 32 · 518 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11+ 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1562133,-752609637] |
[a1,a2,a3,a4,a6] |
j |
-26348629355659264/24169921875 |
j-invariant |
L |
2.430628834345 |
L(r)(E,1)/r! |
Ω |
0.06751746764052 |
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 |
52800ev3 3300e3 10560i3 |
Quadratic twists by: -4 8 5 |