Atkin-Lehner |
2+ 7+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
54782b |
Isogeny class |
Conductor |
54782 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
343200 |
Modular degree for the optimal curve |
Δ |
-90070765797376 = -1 · 226 · 74 · 13 · 43 |
Discriminant |
Eigenvalues |
2+ 0 -3 7+ -2 13- -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-261326,-51355564] |
[a1,a2,a3,a4,a6] |
Generators |
[4076:256010:1] |
Generators of the group modulo torsion |
j |
-822016149299951193/37513854976 |
j-invariant |
L |
1.63433984413 |
L(r)(E,1)/r! |
Ω |
0.10557780697089 |
Real period |
R |
2.5799927260898 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54782l1 |
Quadratic twists by: -7 |