Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
33600ca |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-247726080000 = -1 · 221 · 33 · 54 · 7 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -6 1 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1567,-2463] |
[a1,a2,a3,a4,a6] |
Generators |
[73:704:1] |
Generators of the group modulo torsion |
j |
2595575/1512 |
j-invariant |
L |
4.5826452909323 |
L(r)(E,1)/r! |
Ω |
0.58282729258858 |
Real period |
R |
1.9656960772114 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33600hd1 1050j1 100800il1 33600co1 |
Quadratic twists by: -4 8 -3 5 |