Atkin-Lehner |
2+ 3+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
17856i |
Isogeny class |
Conductor |
17856 |
Conductor |
∏ cp |
4 |
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 |
2.0821849802672 |
L(r)(E,1)/r! |
Ω |
0.52054624506679 |
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 |
17856bm1 558f1 17856j2 |
Quadratic twists by: -4 8 -3 |