Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
33600ci |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-2822930611200 = -1 · 210 · 38 · 52 · 75 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 3 2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2527,65223] |
[a1,a2,a3,a4,a6] |
j |
69683121920/110270727 |
j-invariant |
L |
4.3908803793618 |
L(r)(E,1)/r! |
Ω |
0.54886004742099 |
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 |
33600fb1 4200b1 100800ds1 33600by1 |
Quadratic twists by: -4 8 -3 5 |