Atkin-Lehner |
13- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
86411k |
Isogeny class |
Conductor |
86411 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
17136 |
Modular degree for the optimal curve |
Δ |
-24972779 = -1 · 13 · 174 · 23 |
Discriminant |
Eigenvalues |
-1 1 -1 -3 -3 13- 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6,-241] |
[a1,a2,a3,a4,a6] |
Generators |
[7:5:1] |
Generators of the group modulo torsion |
j |
-289/299 |
j-invariant |
L |
1.6098304150213 |
L(r)(E,1)/r! |
Ω |
0.95839218741546 |
Real period |
R |
0.5599066290713 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999880059 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86411i1 |
Quadratic twists by: 17 |