Atkin-Lehner |
2+ 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
2730d |
Isogeny class |
Conductor |
2730 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
47698560000 = 210 · 32 · 54 · 72 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5603,-163443] |
[a1,a2,a3,a4,a6] |
j |
19458380202497209/47698560000 |
j-invariant |
L |
1.1037692158881 |
L(r)(E,1)/r! |
Ω |
0.55188460794403 |
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 |
21840bq2 87360dr2 8190bs2 13650cp2 |
Quadratic twists by: -4 8 -3 5 |