Atkin-Lehner |
2- 5+ 17- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
56950n |
Isogeny class |
Conductor |
56950 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
177408 |
Modular degree for the optimal curve |
Δ |
19536128000000 = 214 · 56 · 17 · 672 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 4 -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-38680,2929947] |
[a1,a2,a3,a4,a6] |
Generators |
[105:81:1] |
Generators of the group modulo torsion |
j |
409593028559625/1250312192 |
j-invariant |
L |
8.2651994065215 |
L(r)(E,1)/r! |
Ω |
0.68807904608487 |
Real period |
R |
0.85799936727759 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000039 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2278a1 |
Quadratic twists by: 5 |