Atkin-Lehner |
2- 3+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
55506ba |
Isogeny class |
Conductor |
55506 |
Conductor |
∏ cp |
34 |
Product of Tamagawa factors cp |
deg |
3107328 |
Modular degree for the optimal curve |
Δ |
-5.4946913957009E+20 |
Discriminant |
Eigenvalues |
2- 3+ -1 -3 11+ -1 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-20273526,-35161712013] |
[a1,a2,a3,a4,a6] |
Generators |
[8673:660111:1] |
Generators of the group modulo torsion |
j |
-37784839767702838277741/22529383720943616 |
j-invariant |
L |
5.6977165047373 |
L(r)(E,1)/r! |
Ω |
0.035573099382177 |
Real period |
R |
4.7108601755236 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999234 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55506v1 |
Quadratic twists by: 29 |