Atkin-Lehner |
2+ 3- 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
86394bk |
Isogeny class |
Conductor |
86394 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
1108800 |
Modular degree for the optimal curve |
Δ |
5879654891562144 = 25 · 3 · 75 · 118 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 11- -2 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-359010,82683412] |
[a1,a2,a3,a4,a6] |
Generators |
[10:8888:1] |
Generators of the group modulo torsion |
j |
23872622423353/27429024 |
j-invariant |
L |
4.3340548837372 |
L(r)(E,1)/r! |
Ω |
0.42454667313661 |
Real period |
R |
0.68057768567484 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994767 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86394co1 |
Quadratic twists by: -11 |