Atkin-Lehner |
2+ 3- 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
116886o |
Isogeny class |
Conductor |
116886 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
830841457324032 = 212 · 39 · 7 · 112 · 233 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 11- -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-198146,33903956] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:-6599:1] [-150:7837:1] |
Generators of the group modulo torsion |
j |
7110352307247726625/6866458324992 |
j-invariant |
L |
10.283534179231 |
L(r)(E,1)/r! |
Ω |
0.49881443128704 |
Real period |
R |
0.38177688188023 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999958145 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116886bu1 |
Quadratic twists by: -11 |