Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
33600ex |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
15854469120000000 = 230 · 33 · 57 · 7 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65633,2299137] |
[a1,a2,a3,a4,a6] |
Generators |
[-168:2925:1] |
Generators of the group modulo torsion |
j |
7633736209/3870720 |
j-invariant |
L |
5.3295374811792 |
L(r)(E,1)/r! |
Ω |
0.34658095342001 |
Real period |
R |
3.8443669715459 |
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 |
33600cc1 8400ce1 100800mv1 6720cg1 |
Quadratic twists by: -4 8 -3 5 |