Atkin-Lehner |
2- 3- 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
116058bd |
Isogeny class |
Conductor |
116058 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-492513709788 = -1 · 22 · 32 · 23 · 296 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 6 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1279,37973] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:12637:64] |
Generators of the group modulo torsion |
j |
-389017/828 |
j-invariant |
L |
11.149691867919 |
L(r)(E,1)/r! |
Ω |
0.82789671773746 |
Real period |
R |
3.3668728249826 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
138a1 |
Quadratic twists by: 29 |