Atkin-Lehner |
2- 5- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
120640cp |
Isogeny class |
Conductor |
120640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
50186240000 = 214 · 54 · 132 · 29 |
Discriminant |
Eigenvalues |
2- 0 5- 0 -6 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1052,-7504] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:75:1] [-8:20:1] |
Generators of the group modulo torsion |
j |
7858705104/3063125 |
j-invariant |
L |
12.002367447884 |
L(r)(E,1)/r! |
Ω |
0.8666046533966 |
Real period |
R |
3.462469131281 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001869 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120640be2 30160a2 |
Quadratic twists by: -4 8 |