Atkin-Lehner |
2+ 3- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
8874c |
Isogeny class |
Conductor |
8874 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2048 |
Modular degree for the optimal curve |
Δ |
-92005632 = -1 · 28 · 36 · 17 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 2 -1 0 -1 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6,-460] |
[a1,a2,a3,a4,a6] |
Generators |
[28:130:1] |
Generators of the group modulo torsion |
j |
-35937/126208 |
j-invariant |
L |
3.4854177194744 |
L(r)(E,1)/r! |
Ω |
0.86437016589787 |
Real period |
R |
1.0080801770425 |
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 |
70992y1 986f1 |
Quadratic twists by: -4 -3 |