Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
33600co |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-3870720000000000 = -1 · 221 · 33 · 510 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -6 -1 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,39167,-229537] |
[a1,a2,a3,a4,a6] |
j |
2595575/1512 |
j-invariant |
L |
1.5638897344392 |
L(r)(E,1)/r! |
Ω |
0.26064828907405 |
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 |
33600fe1 1050l1 100800eh1 33600ca1 |
Quadratic twists by: -4 8 -3 5 |