Atkin-Lehner |
2- 5- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
105280ba |
Isogeny class |
Conductor |
105280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1075200 |
Modular degree for the optimal curve |
Δ |
5301123783065600 = 228 · 52 · 75 · 47 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ 0 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1049825,414357377] |
[a1,a2,a3,a4,a6] |
Generators |
[10371356483:100954281984:13651919] |
Generators of the group modulo torsion |
j |
488129366009364409/20222182400 |
j-invariant |
L |
10.579354621312 |
L(r)(E,1)/r! |
Ω |
0.40352647401037 |
Real period |
R |
13.108625203109 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000628 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105280u1 26320f1 |
Quadratic twists by: -4 8 |