Atkin-Lehner |
3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
16275u |
Isogeny class |
Conductor |
16275 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
2207348497265625 = 312 · 58 · 73 · 31 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 4 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-144526,-21038677] |
[a1,a2,a3,a4,a6] |
j |
21366693269481169/141270303825 |
j-invariant |
L |
4.4091912336356 |
L(r)(E,1)/r! |
Ω |
0.24495506853531 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48825bm1 3255a1 113925q1 |
Quadratic twists by: -3 5 -7 |