Atkin-Lehner |
2- 3- 5- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
59280ch |
Isogeny class |
Conductor |
59280 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
224640 |
Modular degree for the optimal curve |
Δ |
-1218227712000 = -1 · 212 · 3 · 53 · 133 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -1 13- -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-158085,-24245517] |
[a1,a2,a3,a4,a6] |
j |
-106669068376969216/297418875 |
j-invariant |
L |
2.154860180353 |
L(r)(E,1)/r! |
Ω |
0.11971445466629 |
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 |
3705d1 |
Quadratic twists by: -4 |