Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
33600fy |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-5670000000000 = -1 · 210 · 34 · 510 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -1 -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4167,50463] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:159:1] |
Generators of the group modulo torsion |
j |
800000/567 |
j-invariant |
L |
6.5829057062227 |
L(r)(E,1)/r! |
Ω |
0.48187980833685 |
Real period |
R |
3.4152218002984 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33600p1 8400bg1 100800le1 33600ft1 |
Quadratic twists by: -4 8 -3 5 |