Atkin-Lehner |
2+ 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
116928cd |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-22454396633088 = -1 · 214 · 39 · 74 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7044,14096] |
[a1,a2,a3,a4,a6] |
Generators |
[61:819:1] |
Generators of the group modulo torsion |
j |
3236192048/1879983 |
j-invariant |
L |
7.3594420399978 |
L(r)(E,1)/r! |
Ω |
0.40795977127151 |
Real period |
R |
2.2549533403788 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000065558 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116928dn1 14616p1 38976k1 |
Quadratic twists by: -4 8 -3 |