Atkin-Lehner |
2- 3+ 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800fg |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-142310520000 = -1 · 26 · 35 · 54 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 11+ 3 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-283,18337] |
[a1,a2,a3,a4,a6] |
Generators |
[72:605:1] |
Generators of the group modulo torsion |
j |
-62886400/3557763 |
j-invariant |
L |
5.2024843328444 |
L(r)(E,1)/r! |
Ω |
0.85493818000177 |
Real period |
R |
1.0142028305976 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999656 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52800hr1 26400cf1 52800fz1 |
Quadratic twists by: -4 8 5 |