Atkin-Lehner |
13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
2873b |
Isogeny class |
Conductor |
2873 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
396067447082177 = 1312 · 17 |
Discriminant |
Eigenvalues |
1 0 -4 2 -6 13+ 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-123824,16774499] |
[a1,a2,a3,a4,a6] |
j |
43499078731809/82055753 |
j-invariant |
L |
0.5339058638063 |
L(r)(E,1)/r! |
Ω |
0.5339058638063 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45968r1 25857j1 71825g1 221a1 |
Quadratic twists by: -4 -3 5 13 |