Atkin-Lehner |
3+ 17+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
4539b |
Isogeny class |
Conductor |
4539 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
29880 |
Modular degree for the optimal curve |
Δ |
-558400242500811 = -1 · 315 · 173 · 892 |
Discriminant |
Eigenvalues |
-2 3+ 1 -4 -1 5 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1810,-1136706] |
[a1,a2,a3,a4,a6] |
j |
-656144293851136/558400242500811 |
j-invariant |
L |
0.46734988627777 |
L(r)(E,1)/r! |
Ω |
0.23367494313888 |
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 |
72624w1 13617e1 113475q1 77163e1 |
Quadratic twists by: -4 -3 5 17 |