Atkin-Lehner |
2- 3+ 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
39360bs |
Isogeny class |
Conductor |
39360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-9225000000 = -1 · 26 · 32 · 58 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,284,-4334] |
[a1,a2,a3,a4,a6] |
Generators |
[900:3031:64] |
Generators of the group modulo torsion |
j |
39442883264/144140625 |
j-invariant |
L |
4.0176889573504 |
L(r)(E,1)/r! |
Ω |
0.65987128211781 |
Real period |
R |
6.0885949521192 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39360cp1 19680bd4 118080ez1 |
Quadratic twists by: -4 8 -3 |