Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
52800ex |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
183675444480000000 = 214 · 34 · 57 · 116 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11- 0 8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-171633,-17938863] |
[a1,a2,a3,a4,a6] |
Generators |
[-168:2475:1] |
Generators of the group modulo torsion |
j |
2184181167184/717482205 |
j-invariant |
L |
4.8251511450109 |
L(r)(E,1)/r! |
Ω |
0.2407148798115 |
Real period |
R |
0.8352120339707 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000054 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52800cc2 13200s2 10560cl2 |
Quadratic twists by: -4 8 5 |