Atkin-Lehner |
2- 3+ 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
55536w |
Isogeny class |
Conductor |
55536 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
39168 |
Modular degree for the optimal curve |
Δ |
-58233716736 = -1 · 224 · 3 · 13 · 89 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,816,7104] |
[a1,a2,a3,a4,a6] |
Generators |
[17:160:1] |
Generators of the group modulo torsion |
j |
14652168623/14217216 |
j-invariant |
L |
2.7448203438189 |
L(r)(E,1)/r! |
Ω |
0.73132919928746 |
Real period |
R |
3.75319397395 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000029 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6942m1 |
Quadratic twists by: -4 |