Atkin-Lehner |
2+ 5+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
56870g |
Isogeny class |
Conductor |
56870 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-2.1128528332325E+19 |
Discriminant |
Eigenvalues |
2+ -2 5+ 2 11- -1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,281201,-213551934] |
[a1,a2,a3,a4,a6] |
Generators |
[1777090:41646123:2744] |
Generators of the group modulo torsion |
j |
11471891565431/98566144000 |
j-invariant |
L |
2.6230820440922 |
L(r)(E,1)/r! |
Ω |
0.10668586870088 |
Real period |
R |
12.293484020672 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999545 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56870t2 |
Quadratic twists by: -11 |