Atkin-Lehner |
2- 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
57664z |
Isogeny class |
Conductor |
57664 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
3617748942848 = 218 · 173 · 532 |
Discriminant |
Eigenvalues |
2- 0 0 -2 -6 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5420,123344] |
[a1,a2,a3,a4,a6] |
Generators |
[-80:212:1] |
Generators of the group modulo torsion |
j |
67170974625/13800617 |
j-invariant |
L |
3.1753204891209 |
L(r)(E,1)/r! |
Ω |
0.74673917223889 |
Real period |
R |
2.1261242258448 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000479 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57664f1 14416c1 |
Quadratic twists by: -4 8 |