Atkin-Lehner |
2+ 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800n |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-4947486720000000000 = -1 · 220 · 3 · 510 · 115 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 11+ -4 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,399167,-45190463] |
[a1,a2,a3,a4,a6] |
Generators |
[452039:18046272:343] |
Generators of the group modulo torsion |
j |
2747555975/1932612 |
j-invariant |
L |
4.8771645422432 |
L(r)(E,1)/r! |
Ω |
0.13711376475957 |
Real period |
R |
8.8925509244425 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999532 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52800hd2 1650s2 52800dt1 |
Quadratic twists by: -4 8 5 |