Atkin-Lehner |
2- 3+ 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
39360cg |
Isogeny class |
Conductor |
39360 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
1936512000 = 210 · 32 · 53 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -4 -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1445,21525] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:48:1] [-20:205:1] |
Generators of the group modulo torsion |
j |
326082740224/1891125 |
j-invariant |
L |
7.0887848865619 |
L(r)(E,1)/r! |
Ω |
1.485898222525 |
Real period |
R |
0.79511781483435 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39360bk1 9840y1 118080er1 |
Quadratic twists by: -4 8 -3 |