Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
52800fb |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-936500133888000000 = -1 · 223 · 310 · 56 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11- 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,183967,-35352063] |
[a1,a2,a3,a4,a6] |
Generators |
[45759:1936000:27] |
Generators of the group modulo torsion |
j |
168105213359/228637728 |
j-invariant |
L |
4.7707911686353 |
L(r)(E,1)/r! |
Ω |
0.14867125950544 |
Real period |
R |
4.0111915245979 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52800ce2 13200cf2 2112bd2 |
Quadratic twists by: -4 8 5 |