Atkin-Lehner |
2- 3- 23+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
80592t |
Isogeny class |
Conductor |
80592 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
45056 |
Modular degree for the optimal curve |
Δ |
-40664788992 = -1 · 212 · 34 · 23 · 732 |
Discriminant |
Eigenvalues |
2- 3- 0 2 -2 -2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,232,9684] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:96:1] |
Generators of the group modulo torsion |
j |
335702375/9927927 |
j-invariant |
L |
9.0156243566666 |
L(r)(E,1)/r! |
Ω |
0.86336810367329 |
Real period |
R |
1.3052984464724 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001107 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5037e1 |
Quadratic twists by: -4 |