Atkin-Lehner |
2- 5- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
98600n |
Isogeny class |
Conductor |
98600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
27264 |
Modular degree for the optimal curve |
Δ |
78880000 = 28 · 54 · 17 · 29 |
Discriminant |
Eigenvalues |
2- 1 5- 4 -1 -7 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-108,-112] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:10:1] |
Generators of the group modulo torsion |
j |
878800/493 |
j-invariant |
L |
8.287851324308 |
L(r)(E,1)/r! |
Ω |
1.5910624634474 |
Real period |
R |
0.43408369781019 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999919703 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98600b1 |
Quadratic twists by: 5 |