Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
33600ev |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
26880000000 = 214 · 3 · 57 · 7 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3633,85137] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:400:1] |
Generators of the group modulo torsion |
j |
20720464/105 |
j-invariant |
L |
5.0575317815516 |
L(r)(E,1)/r! |
Ω |
1.1932734863565 |
Real period |
R |
1.0595919207495 |
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 |
33600cb1 8400y1 100800ms1 6720cf1 |
Quadratic twists by: -4 8 -3 5 |