Atkin-Lehner |
2- 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
52800fp |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-2128409395200000000 = -1 · 223 · 310 · 58 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 11- -1 -8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-924833,-349142463] |
[a1,a2,a3,a4,a6] |
Generators |
[1117:3200:1] [1373:31104:1] |
Generators of the group modulo torsion |
j |
-854307420745/20785248 |
j-invariant |
L |
8.050556610082 |
L(r)(E,1)/r! |
Ω |
0.07686510994827 |
Real period |
R |
4.3640067512965 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52800dm2 13200co2 52800gy1 |
Quadratic twists by: -4 8 5 |