Atkin-Lehner |
2+ 7+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
33488d |
Isogeny class |
Conductor |
33488 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
8832 |
Modular degree for the optimal curve |
Δ |
283442432 = 28 · 7 · 13 · 233 |
Discriminant |
Eigenvalues |
2+ -2 -2 7+ 1 13- 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-169,195] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:23:1] |
Generators of the group modulo torsion |
j |
2097544192/1107197 |
j-invariant |
L |
2.6249023922938 |
L(r)(E,1)/r! |
Ω |
1.5217591495539 |
Real period |
R |
0.57497105527793 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16744i1 |
Quadratic twists by: -4 |