Atkin-Lehner |
2+ 5- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
120640be |
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 |
[48:260:1] |
Generators of the group modulo torsion |
j |
7858705104/3063125 |
j-invariant |
L |
8.7984147270273 |
L(r)(E,1)/r! |
Ω |
1.0257723189441 |
Real period |
R |
2.1443390960146 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999756117 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120640cp2 15080g2 |
Quadratic twists by: -4 8 |