Atkin-Lehner |
2- 3+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
87024cn |
Isogeny class |
Conductor |
87024 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-115072443861172224 = -1 · 219 · 3 · 711 · 37 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 0 2 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,41144,-16015376] |
[a1,a2,a3,a4,a6] |
j |
15983964359/238793856 |
j-invariant |
L |
1.3007891597416 |
L(r)(E,1)/r! |
Ω |
0.16259863660159 |
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 |
10878r1 12432br1 |
Quadratic twists by: -4 -7 |