Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
129960ck |
Isogeny class |
Conductor |
129960 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
150136127477222400 = 210 · 38 · 52 · 197 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -6 -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1300683,-570655082] |
[a1,a2,a3,a4,a6] |
Generators |
[-661:540:1] [1406:19494:1] |
Generators of the group modulo torsion |
j |
6929294404/4275 |
j-invariant |
L |
11.691146586667 |
L(r)(E,1)/r! |
Ω |
0.1413750498684 |
Real period |
R |
5.1684979897067 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000008583 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43320r2 6840h2 |
Quadratic twists by: -3 -19 |