Atkin-Lehner |
3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
5175f |
Isogeny class |
Conductor |
5175 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
18044109275175 = 322 · 52 · 23 |
Discriminant |
Eigenvalues |
-1 3- 5+ 5 -5 -1 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7475,-139908] |
[a1,a2,a3,a4,a6] |
j |
2534167381585/990074583 |
j-invariant |
L |
1.0617175783483 |
L(r)(E,1)/r! |
Ω |
0.53085878917415 |
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 |
82800ex1 1725e1 5175y1 119025bm1 |
Quadratic twists by: -4 -3 5 -23 |