Atkin-Lehner |
5+ 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
65065f |
Isogeny class |
Conductor |
65065 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
435456 |
Modular degree for the optimal curve |
Δ |
391798047265625 = 58 · 73 · 113 · 133 |
Discriminant |
Eigenvalues |
-1 -2 5+ 7+ 11- 13- -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-120936,-16169609] |
[a1,a2,a3,a4,a6] |
Generators |
[-207:175:1] |
Generators of the group modulo torsion |
j |
89034982946501437/178333203125 |
j-invariant |
L |
1.2528776351223 |
L(r)(E,1)/r! |
Ω |
0.2560429926593 |
Real period |
R |
1.6310771639058 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001662 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65065u1 |
Quadratic twists by: 13 |