Atkin-Lehner |
5- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
9065d |
Isogeny class |
Conductor |
9065 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2160 |
Modular degree for the optimal curve |
Δ |
21765065 = 5 · 76 · 37 |
Discriminant |
Eigenvalues |
1 2 5- 7- 0 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-172,771] |
[a1,a2,a3,a4,a6] |
Generators |
[3630:40277:27] |
Generators of the group modulo torsion |
j |
4826809/185 |
j-invariant |
L |
7.5758514089655 |
L(r)(E,1)/r! |
Ω |
2.1309610604267 |
Real period |
R |
7.110267333978 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81585o1 45325j1 185c1 |
Quadratic twists by: -3 5 -7 |