Atkin-Lehner |
2+ 3+ 5- 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39270m |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
538784400 = 24 · 3 · 52 · 74 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 11+ -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-357,-2499] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:19:1] [-10:19:1] |
Generators of the group modulo torsion |
j |
5053913144281/538784400 |
j-invariant |
L |
5.980930320256 |
L(r)(E,1)/r! |
Ω |
1.1055064354318 |
Real period |
R |
2.7050635476037 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810di1 |
Quadratic twists by: -3 |