Atkin-Lehner |
3- 5- 19+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
52155j |
Isogeny class |
Conductor |
52155 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-1914256203202935 = -1 · 37 · 5 · 196 · 612 |
Discriminant |
Eigenvalues |
-1 3- 5- 2 -6 4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10112,-2138574] |
[a1,a2,a3,a4,a6] |
Generators |
[865748:-16720098:2197] |
Generators of the group modulo torsion |
j |
-156843708284089/2625865848015 |
j-invariant |
L |
4.1048448817446 |
L(r)(E,1)/r! |
Ω |
0.20097634761901 |
Real period |
R |
10.212258632192 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000164 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17385b1 |
Quadratic twists by: -3 |