Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
16170bk |
Isogeny class |
Conductor |
16170 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
10044589262400 = 26 · 32 · 52 · 78 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-150921,22503543] |
[a1,a2,a3,a4,a6] |
Generators |
[139:1988:1] |
Generators of the group modulo torsion |
j |
3231355012744321/85377600 |
j-invariant |
L |
5.7114523634728 |
L(r)(E,1)/r! |
Ω |
0.67267467254069 |
Real period |
R |
0.70755505306162 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
129360gm2 48510bv2 80850by2 2310v2 |
Quadratic twists by: -4 -3 5 -7 |