Atkin-Lehner |
2- 3- 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
27090bk |
Isogeny class |
Conductor |
27090 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-175543200 = -1 · 25 · 36 · 52 · 7 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -3 6 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1283,-17373] |
[a1,a2,a3,a4,a6] |
j |
-320153881321/240800 |
j-invariant |
L |
3.9885932848531 |
L(r)(E,1)/r! |
Ω |
0.39885932848535 |
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 |
3010c1 |
Quadratic twists by: -3 |