Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
33600da |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
-3805072588800000000 = -1 · 234 · 34 · 58 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,335967,56592063] |
[a1,a2,a3,a4,a6] |
Generators |
[4794:174075:8] |
Generators of the group modulo torsion |
j |
1023887723039/928972800 |
j-invariant |
L |
7.6694353179848 |
L(r)(E,1)/r! |
Ω |
0.1622142519207 |
Real period |
R |
5.9099579931899 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33600eq1 1050c1 100800fr1 6720c1 |
Quadratic twists by: -4 8 -3 5 |