Atkin-Lehner |
2- 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
33600hd |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
6 |
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] |
j |
2595575/1512 |
j-invariant |
L |
3.5726475533006 |
L(r)(E,1)/r! |
Ω |
0.59544125888257 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33600ca1 8400br1 100800pd1 33600fe1 |
Quadratic twists by: -4 8 -3 5 |