Atkin-Lehner |
2+ 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
57222p |
Isogeny class |
Conductor |
57222 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
62405397648 = 24 · 38 · 112 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 11- 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3267,71685] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:393:1] |
Generators of the group modulo torsion |
j |
1076890625/17424 |
j-invariant |
L |
4.7969575329448 |
L(r)(E,1)/r! |
Ω |
1.1085800373902 |
Real period |
R |
1.0817797026828 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19074z1 57222c1 |
Quadratic twists by: -3 17 |