Atkin-Lehner |
2- 7+ 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
12166l |
Isogeny class |
Conductor |
12166 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
54338550747529202 = 2 · 78 · 112 · 794 |
Discriminant |
Eigenvalues |
2- 0 -2 7+ 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-313471,66693685] |
[a1,a2,a3,a4,a6] |
Generators |
[77226:63689:216] |
Generators of the group modulo torsion |
j |
3406548066993305089857/54338550747529202 |
j-invariant |
L |
5.6208858106152 |
L(r)(E,1)/r! |
Ω |
0.35466864422934 |
Real period |
R |
7.9241369403108 |
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 |
97328bc3 109494g3 85162ba3 |
Quadratic twists by: -4 -3 -7 |