Atkin-Lehner |
2+ 5+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
56870g |
Isogeny class |
Conductor |
56870 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
-28486889090640640 = -1 · 28 · 5 · 118 · 473 |
Discriminant |
Eigenvalues |
2+ -2 5+ 2 11- -1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-31584,8400302] |
[a1,a2,a3,a4,a6] |
Generators |
[1774:27181:8] |
Generators of the group modulo torsion |
j |
-16254134809/132893440 |
j-invariant |
L |
2.6230820440922 |
L(r)(E,1)/r! |
Ω |
0.32005760610263 |
Real period |
R |
4.0978280068908 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999545 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
56870t1 |
Quadratic twists by: -11 |