Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
52800cx |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
-1185257981952000000 = -1 · 217 · 314 · 56 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11- 0 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-797633,-279415137] |
[a1,a2,a3,a4,a6] |
Generators |
[1627:52272:1] |
Generators of the group modulo torsion |
j |
-27403349188178/578739249 |
j-invariant |
L |
8.8284522599613 |
L(r)(E,1)/r! |
Ω |
0.079776619325885 |
Real period |
R |
1.9761545995041 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999913 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52800ei2 6600u2 2112j2 |
Quadratic twists by: -4 8 5 |