Atkin-Lehner |
2- 3- 5+ 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
27030r |
Isogeny class |
Conductor |
27030 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
168960 |
Modular degree for the optimal curve |
Δ |
1186363593750000 = 24 · 3 · 510 · 17 · 533 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 4 -1 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-28216,760400] |
[a1,a2,a3,a4,a6] |
j |
2484339897948225409/1186363593750000 |
j-invariant |
L |
3.4712586781604 |
L(r)(E,1)/r! |
Ω |
0.43390733477007 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81090o1 |
Quadratic twists by: -3 |