Atkin-Lehner |
2+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
54208c |
Isogeny class |
Conductor |
54208 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
-7394523958976 = -1 · 26 · 72 · 119 |
Discriminant |
Eigenvalues |
2+ -1 -3 7+ 11+ 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-887,-130931] |
[a1,a2,a3,a4,a6] |
Generators |
[444:9317:1] |
Generators of the group modulo torsion |
j |
-512/49 |
j-invariant |
L |
3.381185345704 |
L(r)(E,1)/r! |
Ω |
0.32882084412882 |
Real period |
R |
2.5706896369865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999868 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54208v1 27104a1 54208x1 |
Quadratic twists by: -4 8 -11 |