Atkin-Lehner |
2+ 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
2730k |
Isogeny class |
Conductor |
2730 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.4234805107117E+27 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 13+ -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-330949984,-1440519827218] |
[a1,a2,a3,a4,a6] |
j |
4008766897254067912673785886329/1423480510711669921875000000 |
j-invariant |
L |
1.165913482582 |
L(r)(E,1)/r! |
Ω |
0.036434796330688 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21840bh4 87360z4 8190bm3 13650bz3 |
Quadratic twists by: -4 8 -3 5 |