Atkin-Lehner |
2- 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
39600cu |
Isogeny class |
Conductor |
39600 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-39530700000000 = -1 · 28 · 33 · 58 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 11- -3 -8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18000,977500] |
[a1,a2,a3,a4,a6] |
Generators |
[-150:550:1] [125:825:1] |
Generators of the group modulo torsion |
j |
-238878720/14641 |
j-invariant |
L |
8.3563654341862 |
L(r)(E,1)/r! |
Ω |
0.63692980912737 |
Real period |
R |
0.27332830721811 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9900e1 39600cn1 39600cg1 |
Quadratic twists by: -4 -3 5 |