Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
16170bs |
Isogeny class |
Conductor |
16170 |
Conductor |
∏ cp |
1280 |
Product of Tamagawa factors cp |
Δ |
2.26003258404E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-32340050,70774074335] |
[a1,a2,a3,a4,a6] |
Generators |
[1133:188083:1] |
Generators of the group modulo torsion |
j |
31794905164720991157649/192099600000000 |
j-invariant |
L |
6.760667844289 |
L(r)(E,1)/r! |
Ω |
0.19068226925299 |
Real period |
R |
0.44318933472252 |
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 |
129360hl2 48510r2 80850cn2 2310r2 |
Quadratic twists by: -4 -3 5 -7 |