Atkin-Lehner |
2- 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
62656o |
Isogeny class |
Conductor |
62656 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-705757184 = -1 · 216 · 112 · 89 |
Discriminant |
Eigenvalues |
2- -1 3 0 11+ 2 1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-129,1441] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:44:1] |
Generators of the group modulo torsion |
j |
-3650692/10769 |
j-invariant |
L |
6.0766282253219 |
L(r)(E,1)/r! |
Ω |
1.4148055120718 |
Real period |
R |
1.0737568120913 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997301 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62656h1 15664c1 |
Quadratic twists by: -4 8 |