Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
52800es |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2230272000000 = -1 · 217 · 32 · 56 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11- 0 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3167,-22463] |
[a1,a2,a3,a4,a6] |
Generators |
[13:144:1] |
Generators of the group modulo torsion |
j |
1714750/1089 |
j-invariant |
L |
6.241171281841 |
L(r)(E,1)/r! |
Ω |
0.47144698750181 |
Real period |
R |
1.65479137827 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52800cf2 13200q2 2112ba2 |
Quadratic twists by: -4 8 5 |