Atkin-Lehner |
2- 11+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
8866i |
Isogeny class |
Conductor |
8866 |
Conductor |
∏ cp |
76 |
Product of Tamagawa factors cp |
deg |
51072 |
Modular degree for the optimal curve |
Δ |
-792541528064 = -1 · 219 · 112 · 13 · 312 |
Discriminant |
Eigenvalues |
2- -3 -1 -3 11+ 13+ -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-35898,2627193] |
[a1,a2,a3,a4,a6] |
Generators |
[483:-10131:1] [-111:2343:1] |
Generators of the group modulo torsion |
j |
-5115912758587353969/792541528064 |
j-invariant |
L |
4.9671850631951 |
L(r)(E,1)/r! |
Ω |
0.86558299790569 |
Real period |
R |
0.075507141843236 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999965 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70928o1 79794j1 97526n1 115258i1 |
Quadratic twists by: -4 -3 -11 13 |