Atkin-Lehner |
3- 5- 7+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
39585k |
Isogeny class |
Conductor |
39585 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
2919621823925625 = 34 · 54 · 74 · 134 · 292 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-367625,-85785000] |
[a1,a2,a3,a4,a6] |
Generators |
[-353:352:1] |
Generators of the group modulo torsion |
j |
5494635636280000938001/2919621823925625 |
j-invariant |
L |
5.3053353276114 |
L(r)(E,1)/r! |
Ω |
0.19389300423131 |
Real period |
R |
1.7101362645358 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
118755c4 |
Quadratic twists by: -3 |