Atkin-Lehner |
2- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
14504g |
Isogeny class |
Conductor |
14504 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-1256376075301317376 = -1 · 28 · 713 · 373 |
Discriminant |
Eigenvalues |
2- 0 1 7- 5 1 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1608572,-787101308] |
[a1,a2,a3,a4,a6] |
Generators |
[88237254:1536815273:54872] |
Generators of the group modulo torsion |
j |
-15283295882302464/41714923579 |
j-invariant |
L |
5.1909731313721 |
L(r)(E,1)/r! |
Ω |
0.067017532310205 |
Real period |
R |
9.682117784016 |
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 |
29008b1 116032g1 2072d1 |
Quadratic twists by: -4 8 -7 |