Atkin-Lehner |
2+ 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
39600a |
Isogeny class |
Conductor |
39600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
1188000000 = 28 · 33 · 56 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 11+ 6 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-375,-2250] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:16:1] |
Generators of the group modulo torsion |
j |
54000/11 |
j-invariant |
L |
6.2454448837814 |
L(r)(E,1)/r! |
Ω |
1.1004187682153 |
Real period |
R |
2.8377582535741 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19800a1 39600c1 1584a1 |
Quadratic twists by: -4 -3 5 |