Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
43320bg |
Isogeny class |
Conductor |
43320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3432467477760000 = 211 · 3 · 54 · 197 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-880960,-318541600] |
[a1,a2,a3,a4,a6] |
Generators |
[3733074743304195:-1318247709950669498:29935382625] |
Generators of the group modulo torsion |
j |
784767874322/35625 |
j-invariant |
L |
8.6704609635323 |
L(r)(E,1)/r! |
Ω |
0.15583379571483 |
Real period |
R |
27.819578300569 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86640j4 129960r4 2280a4 |
Quadratic twists by: -4 -3 -19 |