Atkin-Lehner |
2- 3- 7+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
27258bh |
Isogeny class |
Conductor |
27258 |
Conductor |
∏ cp |
231 |
Product of Tamagawa factors cp |
deg |
266112 |
Modular degree for the optimal curve |
Δ |
-17570600796051072 = -1 · 27 · 311 · 73 · 11 · 593 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 11- 1 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,36443,-5785087] |
[a1,a2,a3,a4,a6] |
Generators |
[926:28211:1] |
Generators of the group modulo torsion |
j |
5352606663736934447/17570600796051072 |
j-invariant |
L |
11.385589299367 |
L(r)(E,1)/r! |
Ω |
0.1985475178748 |
Real period |
R |
0.24824417798214 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81774j1 |
Quadratic twists by: -3 |