Atkin-Lehner |
2- 3- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
116928dn |
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 |
[26:432:1] |
Generators of the group modulo torsion |
j |
3236192048/1879983 |
j-invariant |
L |
4.0736231122484 |
L(r)(E,1)/r! |
Ω |
0.40135385874273 |
Real period |
R |
1.2687130861916 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999926368 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116928cd1 29232h1 38976br1 |
Quadratic twists by: -4 8 -3 |