Atkin-Lehner |
2+ 3- 5- 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
23970k |
Isogeny class |
Conductor |
23970 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
Δ |
25064455218750 = 2 · 310 · 56 · 172 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -2 6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-144253,21074498] |
[a1,a2,a3,a4,a6] |
Generators |
[214:20:1] |
Generators of the group modulo torsion |
j |
331966260192812623561/25064455218750 |
j-invariant |
L |
4.9542872955666 |
L(r)(E,1)/r! |
Ω |
0.63938014658909 |
Real period |
R |
0.25828595200087 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71910x2 119850bp2 |
Quadratic twists by: -3 5 |