Atkin-Lehner |
2+ 3- 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
116886o |
Isogeny class |
Conductor |
116886 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
412373808 = 24 · 33 · 73 · 112 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 11- -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-16046066,24738734612] |
[a1,a2,a3,a4,a6] |
Generators |
[2138:13293:1] [2313:-1127:1] |
Generators of the group modulo torsion |
j |
3776104682692733708238625/3408048 |
j-invariant |
L |
10.283534179231 |
L(r)(E,1)/r! |
Ω |
0.49881443128704 |
Real period |
R |
3.435991936922 |
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 |
116886bu2 |
Quadratic twists by: -11 |