Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
43320be |
Isogeny class |
Conductor |
43320 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
24456330779040000 = 28 · 32 · 54 · 198 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-686020,-218801632] |
[a1,a2,a3,a4,a6] |
Generators |
[-30076:9945:64] |
Generators of the group modulo torsion |
j |
2964647793616/2030625 |
j-invariant |
L |
8.1218391318361 |
L(r)(E,1)/r! |
Ω |
0.16589494908074 |
Real period |
R |
6.1197155013154 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
86640h2 129960o2 2280b2 |
Quadratic twists by: -4 -3 -19 |