Atkin-Lehner |
2+ 29+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
57536d |
Isogeny class |
Conductor |
57536 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
218624 |
Modular degree for the optimal curve |
Δ |
51063411790016 = 26 · 29 · 317 |
Discriminant |
Eigenvalues |
2+ -2 -1 -2 4 -2 -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-41636,3238066] |
[a1,a2,a3,a4,a6] |
Generators |
[85:566:1] |
Generators of the group modulo torsion |
j |
124727198695771456/797865809219 |
j-invariant |
L |
2.9488187156263 |
L(r)(E,1)/r! |
Ω |
0.63615891693045 |
Real period |
R |
4.6353491825391 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000023 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57536g1 28768h1 |
Quadratic twists by: -4 8 |