Atkin-Lehner |
2+ 3- 7+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
28014j |
Isogeny class |
Conductor |
28014 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-337752920064 = -1 · 212 · 3 · 72 · 23 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ 1 -3 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-40562,-3147772] |
[a1,a2,a3,a4,a6] |
Generators |
[40998:1562359:27] |
Generators of the group modulo torsion |
j |
-7380170631833665177/337752920064 |
j-invariant |
L |
5.8021084420828 |
L(r)(E,1)/r! |
Ω |
0.16820535152737 |
Real period |
R |
8.6235491162992 |
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 |
84042bk1 |
Quadratic twists by: -3 |