Atkin-Lehner |
2- 3- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
79344bk |
Isogeny class |
Conductor |
79344 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
-34802937181973232 = -1 · 24 · 313 · 196 · 29 |
Discriminant |
Eigenvalues |
2- 3- 4 -1 -5 3 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1664733,826781195] |
[a1,a2,a3,a4,a6] |
Generators |
[88230:4698415:27] |
Generators of the group modulo torsion |
j |
-43743141251266567936/2983790910663 |
j-invariant |
L |
8.0761386633162 |
L(r)(E,1)/r! |
Ω |
0.34904720952329 |
Real period |
R |
5.7844171518821 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001218 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19836h1 26448n1 |
Quadratic twists by: -4 -3 |