Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680dy |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.523699798502E+26 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-151090563,397840199042] |
[a1,a2,a3,a4,a6] |
Generators |
[3478807697981:443066667327738:156590819] |
Generators of the group modulo torsion |
j |
26465989780414729/10571870144160 |
j-invariant |
L |
8.331897245793 |
L(r)(E,1)/r! |
Ω |
0.052472060528115 |
Real period |
R |
19.848413407113 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000057985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15210o4 40560bu3 9360bz3 |
Quadratic twists by: -4 -3 13 |