Atkin-Lehner |
2- 3- 23+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
27738l |
Isogeny class |
Conductor |
27738 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
28656718730352 = 24 · 319 · 23 · 67 |
Discriminant |
Eigenvalues |
2- 3- 0 0 -3 -2 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-22055,-1228561] |
[a1,a2,a3,a4,a6] |
Generators |
[-93:154:1] |
Generators of the group modulo torsion |
j |
1627417228515625/39309627888 |
j-invariant |
L |
7.8576380985418 |
L(r)(E,1)/r! |
Ω |
0.39234090671535 |
Real period |
R |
2.5034472457656 |
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 |
9246c1 |
Quadratic twists by: -3 |