Atkin-Lehner |
2+ 29+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
57536c |
Isogeny class |
Conductor |
57536 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
48387776 = 26 · 293 · 31 |
Discriminant |
Eigenvalues |
2+ -2 -1 -2 0 -6 -5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1036,-13182] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:2:1] |
Generators of the group modulo torsion |
j |
1923278337856/756059 |
j-invariant |
L |
1.4479775405868 |
L(r)(E,1)/r! |
Ω |
0.84146282477147 |
Real period |
R |
1.7207861095664 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000025 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57536f1 28768g1 |
Quadratic twists by: -4 8 |