Atkin-Lehner |
2- 5+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
120640bt |
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] |
j |
5742584979688556496/505016316025 |
j-invariant |
L |
0.30604198932129 |
L(r)(E,1)/r! |
Ω |
0.15302117821001 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
120640a2 30160i2 |
Quadratic twists by: -4 8 |