Atkin-Lehner |
2- 3- 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
43248ba |
Isogeny class |
Conductor |
43248 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
383040 |
Modular degree for the optimal curve |
Δ |
5459960356608 = 28 · 3 · 17 · 535 |
Discriminant |
Eigenvalues |
2- 3- 4 1 2 -7 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-361196,-83673528] |
[a1,a2,a3,a4,a6] |
Generators |
[-6489674625393581571379396786045485:-100270638554232798735902905589252:18673677363407121242166886601625] |
Generators of the group modulo torsion |
j |
20356998547418647504/21327970143 |
j-invariant |
L |
9.9646989958664 |
L(r)(E,1)/r! |
Ω |
0.19474384873415 |
Real period |
R |
51.168234892334 |
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 |
10812c1 129744ce1 |
Quadratic twists by: -4 -3 |