Atkin-Lehner |
2+ 3- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
8514b |
Isogeny class |
Conductor |
8514 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
429541394743296 = 222 · 39 · 112 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 11+ -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-20196,-470448] |
[a1,a2,a3,a4,a6] |
Generators |
[-99:792:1] |
Generators of the group modulo torsion |
j |
1249695959916097/589220020224 |
j-invariant |
L |
3.2937690268733 |
L(r)(E,1)/r! |
Ω |
0.41933454404713 |
Real period |
R |
1.9636881063292 |
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 |
68112cd1 2838f1 93654bj1 |
Quadratic twists by: -4 -3 -11 |