Atkin-Lehner |
2- 3+ 7- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
114576bn |
Isogeny class |
Conductor |
114576 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
79401168 = 24 · 33 · 72 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11- -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-253,1576] |
[a1,a2,a3,a4,a6] |
Generators |
[-134:231:8] |
Generators of the group modulo torsion |
j |
112377856000/4962573 |
j-invariant |
L |
6.6249248602627 |
L(r)(E,1)/r! |
Ω |
1.9086001342079 |
Real period |
R |
3.4710910524648 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017631 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28644k1 |
Quadratic twists by: -4 |