Atkin-Lehner |
2- 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
29988bb |
Isogeny class |
Conductor |
29988 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-493815251817216 = -1 · 28 · 39 · 78 · 17 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 1 7 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,15288,783412] |
[a1,a2,a3,a4,a6] |
j |
17997824/22491 |
j-invariant |
L |
2.8103351761238 |
L(r)(E,1)/r! |
Ω |
0.35129189701562 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119952er1 9996m1 4284h1 |
Quadratic twists by: -4 -3 -7 |