Atkin-Lehner |
2+ 3- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
8118b |
Isogeny class |
Conductor |
8118 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
13102500708 = 22 · 311 · 11 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 11+ 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-747,-5423] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:50:1] |
Generators of the group modulo torsion |
j |
63282696625/17973252 |
j-invariant |
L |
2.984812153064 |
L(r)(E,1)/r! |
Ω |
0.93285498027597 |
Real period |
R |
0.79991322771868 |
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 |
64944bp1 2706l1 89298bw1 |
Quadratic twists by: -4 -3 -11 |