Atkin-Lehner |
2- 3- 5- 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
54990bq |
Isogeny class |
Conductor |
54990 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-8.4089964662927E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 13- -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7486052,9036095879] |
[a1,a2,a3,a4,a6] |
Generators |
[1197:41701:1] |
Generators of the group modulo torsion |
j |
-63643586870824372641529/11534974576533158400 |
j-invariant |
L |
11.326675785681 |
L(r)(E,1)/r! |
Ω |
0.12568103711519 |
Real period |
R |
2.5033997980824 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999564 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18330l2 |
Quadratic twists by: -3 |