Atkin-Lehner |
2- 3- 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
5166bd |
Isogeny class |
Conductor |
5166 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-10042704 = -1 · 24 · 37 · 7 · 41 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ -2 1 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-401,-2991] |
[a1,a2,a3,a4,a6] |
j |
-9759185353/13776 |
j-invariant |
L |
4.2679698956366 |
L(r)(E,1)/r! |
Ω |
0.53349623695457 |
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 |
41328cl1 1722b1 129150bk1 36162ct1 |
Quadratic twists by: -4 -3 5 -7 |