Atkin-Lehner |
3- 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
90387i |
Isogeny class |
Conductor |
90387 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-321575524281 = -1 · 37 · 116 · 83 |
Discriminant |
Eigenvalues |
1 3- 1 4 11- -2 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1611,10786] |
[a1,a2,a3,a4,a6] |
Generators |
[-18530:344128:4913] |
Generators of the group modulo torsion |
j |
357911/249 |
j-invariant |
L |
10.158049462739 |
L(r)(E,1)/r! |
Ω |
0.61033819208386 |
Real period |
R |
8.3216564094006 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006523 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30129g1 747e1 |
Quadratic twists by: -3 -11 |