Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
52800da |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-461894400000000 = -1 · 214 · 38 · 58 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11- -4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7633,1062863] |
[a1,a2,a3,a4,a6] |
Generators |
[53:900:1] |
Generators of the group modulo torsion |
j |
-192143824/1804275 |
j-invariant |
L |
8.0208715720918 |
L(r)(E,1)/r! |
Ω |
0.44981128549955 |
Real period |
R |
1.1144773139594 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000071 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52800ek2 6600c2 10560m2 |
Quadratic twists by: -4 8 5 |