Atkin-Lehner |
2+ 3- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
29016d |
Isogeny class |
Conductor |
29016 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-58724495856 = -1 · 24 · 36 · 132 · 313 |
Discriminant |
Eigenvalues |
2+ 3- 1 -1 2 13+ 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4827,129607] |
[a1,a2,a3,a4,a6] |
Generators |
[11:279:1] |
Generators of the group modulo torsion |
j |
-1066370439424/5034679 |
j-invariant |
L |
5.9032691863555 |
L(r)(E,1)/r! |
Ω |
1.117926794171 |
Real period |
R |
0.22002294847389 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58032c1 3224c1 |
Quadratic twists by: -4 -3 |