Atkin-Lehner |
11- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
52877b |
Isogeny class |
Conductor |
52877 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9888 |
Modular degree for the optimal curve |
Δ |
-23107249 = -1 · 112 · 192 · 232 |
Discriminant |
Eigenvalues |
-1 0 3 2 11- 5 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-166,894] |
[a1,a2,a3,a4,a6] |
Generators |
[6:-13:1] |
Generators of the group modulo torsion |
j |
-4157263737/190969 |
j-invariant |
L |
5.2799147345583 |
L(r)(E,1)/r! |
Ω |
2.1167290836478 |
Real period |
R |
0.62359358778004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52877c1 |
Quadratic twists by: -11 |