Atkin-Lehner |
3- 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
9027a |
Isogeny class |
Conductor |
9027 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-2545261947 = -1 · 36 · 17 · 593 |
Discriminant |
Eigenvalues |
-2 3- 2 -2 3 4 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-369,-3652] |
[a1,a2,a3,a4,a6] |
j |
-7622111232/3491443 |
j-invariant |
L |
1.0657638430364 |
L(r)(E,1)/r! |
Ω |
0.53288192151818 |
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 |
1003d1 |
Quadratic twists by: -3 |