Atkin-Lehner |
3- 5+ 7+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
39585i |
Isogeny class |
Conductor |
39585 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
104448 |
Modular degree for the optimal curve |
Δ |
361831640625 = 33 · 58 · 7 · 132 · 29 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ -4 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-19506,-1049805] |
[a1,a2,a3,a4,a6] |
Generators |
[-81:60:1] [279:3765:1] |
Generators of the group modulo torsion |
j |
820785665783105569/361831640625 |
j-invariant |
L |
6.369108338278 |
L(r)(E,1)/r! |
Ω |
0.40398838047901 |
Real period |
R |
5.2551910286201 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999965 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118755j1 |
Quadratic twists by: -3 |