Atkin-Lehner |
2- 3+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
17856bm |
Isogeny class |
Conductor |
17856 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-7189775253504 = -1 · 233 · 33 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 3 4 -3 -5 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2964,-113072] |
[a1,a2,a3,a4,a6] |
j |
406869021/1015808 |
j-invariant |
L |
3.0767163730367 |
L(r)(E,1)/r! |
Ω |
0.38458954662959 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17856i1 4464n1 17856bn2 |
Quadratic twists by: -4 8 -3 |