Atkin-Lehner |
2- 3+ 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
29040cl |
Isogeny class |
Conductor |
29040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
938772543755059200 = 216 · 35 · 52 · 119 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 11+ 0 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2666880,1676547072] |
[a1,a2,a3,a4,a6] |
Generators |
[1504:32640:1] |
Generators of the group modulo torsion |
j |
217190179331/97200 |
j-invariant |
L |
4.5094804404606 |
L(r)(E,1)/r! |
Ω |
0.27488654786121 |
Real period |
R |
4.1012196445653 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3630x1 116160hk1 87120dt1 29040cj1 |
Quadratic twists by: -4 8 -3 -11 |