Atkin-Lehner |
3- 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
9027b |
Isogeny class |
Conductor |
9027 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5824 |
Modular degree for the optimal curve |
Δ |
-94347252171 = -1 · 313 · 17 · 592 |
Discriminant |
Eigenvalues |
0 3- 1 2 5 1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-12,14778] |
[a1,a2,a3,a4,a6] |
Generators |
[2:121:1] |
Generators of the group modulo torsion |
j |
-262144/129420099 |
j-invariant |
L |
4.3702626841363 |
L(r)(E,1)/r! |
Ω |
0.85089251463379 |
Real period |
R |
0.64201156564662 |
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 |
3009a1 |
Quadratic twists by: -3 |