Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
52800di |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
278784000000 = 214 · 32 · 56 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11- 6 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4433,109263] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:396:1] |
Generators of the group modulo torsion |
j |
37642192/1089 |
j-invariant |
L |
7.0986001398646 |
L(r)(E,1)/r! |
Ω |
0.97282531801352 |
Real period |
R |
1.8242227068973 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
52800eo2 6600v2 2112g2 |
Quadratic twists by: -4 8 5 |