Atkin-Lehner |
2+ 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
2730p |
Isogeny class |
Conductor |
2730 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1.1197265625E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -6 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-818994,-327640124] |
[a1,a2,a3,a4,a6] |
j |
-60752633741424905775769/11197265625000000000 |
j-invariant |
L |
1.4141582348171 |
L(r)(E,1)/r! |
Ω |
0.078564346378726 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21840be6 87360bj6 8190bz6 13650bu6 |
Quadratic twists by: -4 8 -3 5 |