Atkin-Lehner |
2+ 5+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
120640a |
Isogeny class |
Conductor |
120640 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
8274187321753600 = 214 · 52 · 134 · 294 |
Discriminant |
Eigenvalues |
2+ 0 5+ -4 4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-947548,354990672] |
[a1,a2,a3,a4,a6] |
Generators |
[557:123:1] |
Generators of the group modulo torsion |
j |
5742584979688556496/505016316025 |
j-invariant |
L |
3.7849233269263 |
L(r)(E,1)/r! |
Ω |
0.39566897617404 |
Real period |
R |
4.7829417587416 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999718981 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
120640bt2 15080e2 |
Quadratic twists by: -4 8 |