Atkin-Lehner |
2+ 3- 5- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
19890q |
Isogeny class |
Conductor |
19890 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17920 |
Modular degree for the optimal curve |
Δ |
-56375261280 = -1 · 25 · 313 · 5 · 13 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 1 13+ 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2169,-39987] |
[a1,a2,a3,a4,a6] |
j |
-1548415333009/77332320 |
j-invariant |
L |
1.3950609194978 |
L(r)(E,1)/r! |
Ω |
0.34876522987445 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6630v1 99450cy1 |
Quadratic twists by: -3 5 |