Atkin-Lehner |
5+ 23+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
9085a |
Isogeny class |
Conductor |
9085 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
512 |
Modular degree for the optimal curve |
Δ |
-9085 = -1 · 5 · 23 · 79 |
Discriminant |
Eigenvalues |
-1 2 5+ 1 -3 2 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1,4] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:2:1] |
Generators of the group modulo torsion |
j |
-117649/9085 |
j-invariant |
L |
3.7106338455879 |
L(r)(E,1)/r! |
Ω |
3.3868838240464 |
Real period |
R |
1.0955893494908 |
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 |
81765l1 45425d1 |
Quadratic twists by: -3 5 |