Atkin-Lehner |
2+ 3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
6678g |
Isogeny class |
Conductor |
6678 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-41798897532 = -1 · 22 · 312 · 7 · 532 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,639,7465] |
[a1,a2,a3,a4,a6] |
j |
39547260143/57337308 |
j-invariant |
L |
1.5506952412288 |
L(r)(E,1)/r! |
Ω |
0.77534762061439 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53424be1 2226i1 46746p1 |
Quadratic twists by: -4 -3 -7 |