Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
52800hr |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
60 |
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 |
[38:165:1] |
Generators of the group modulo torsion |
j |
-62886400/3557763 |
j-invariant |
L |
8.018562490987 |
L(r)(E,1)/r! |
Ω |
0.45380727487195 |
Real period |
R |
0.29449221196609 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999831 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52800fg1 26400bn1 52800er1 |
Quadratic twists by: -4 8 5 |