Atkin-Lehner |
2+ 3- 5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
19890m |
Isogeny class |
Conductor |
19890 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-3011134943232000 = -1 · 215 · 39 · 53 · 133 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 3 13- 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-195255,-33264675] |
[a1,a2,a3,a4,a6] |
j |
-1129285954562528881/4130500608000 |
j-invariant |
L |
1.3624013667507 |
L(r)(E,1)/r! |
Ω |
0.11353344722923 |
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 |
6630z1 99450cn1 |
Quadratic twists by: -3 5 |