Atkin-Lehner |
2- 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
29232bk |
Isogeny class |
Conductor |
29232 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-13122270834720768 = -1 · 222 · 312 · 7 · 292 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -4 -4 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-29235,-5837582] |
[a1,a2,a3,a4,a6] |
j |
-925434168625/4394621952 |
j-invariant |
L |
0.66090650383418 |
L(r)(E,1)/r! |
Ω |
0.16522662595892 |
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 |
3654e1 116928eo1 9744u1 |
Quadratic twists by: -4 8 -3 |