Atkin-Lehner |
2+ 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
16720m |
Isogeny class |
Conductor |
16720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6988960000 = 28 · 54 · 112 · 192 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 11+ 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-487,966] |
[a1,a2,a3,a4,a6] |
Generators |
[22:30:1] |
Generators of the group modulo torsion |
j |
49896562896/27300625 |
j-invariant |
L |
5.0683697056018 |
L(r)(E,1)/r! |
Ω |
1.1557523812761 |
Real period |
R |
2.1926711065935 |
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 |
8360h2 66880ch2 83600h2 |
Quadratic twists by: -4 8 5 |