Atkin-Lehner |
3+ 7- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
13629a |
Isogeny class |
Conductor |
13629 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1664 |
Modular degree for the optimal curve |
Δ |
-95403 = -1 · 3 · 72 · 11 · 59 |
Discriminant |
Eigenvalues |
-2 3+ 0 7- 11- 5 -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-8,20] |
[a1,a2,a3,a4,a6] |
Generators |
[1:3:1] |
Generators of the group modulo torsion |
j |
-64000000/95403 |
j-invariant |
L |
2.1584432768357 |
L(r)(E,1)/r! |
Ω |
3.0357514030906 |
Real period |
R |
0.35550395770849 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40887i1 95403n1 |
Quadratic twists by: -3 -7 |