Atkin-Lehner |
2+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
29120o |
Isogeny class |
Conductor |
29120 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
326144000 = 212 · 53 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ -2 5- 7+ 0 13+ -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2185,38583] |
[a1,a2,a3,a4,a6] |
Generators |
[23:32:1] [-29:280:1] |
Generators of the group modulo torsion |
j |
281784327616/79625 |
j-invariant |
L |
6.2942838365663 |
L(r)(E,1)/r! |
Ω |
1.6758049051626 |
Real period |
R |
0.62599608275564 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29120y1 14560a1 |
Quadratic twists by: -4 8 |