Atkin-Lehner |
2- 5- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
37840u |
Isogeny class |
Conductor |
37840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
272787046400 = 221 · 52 · 112 · 43 |
Discriminant |
Eigenvalues |
2- 2 5- 0 11+ 2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1878680,-990496528] |
[a1,a2,a3,a4,a6] |
Generators |
[-3039520694134092:-1981909059200:3842597039247] |
Generators of the group modulo torsion |
j |
179028606517430416921/66598400 |
j-invariant |
L |
9.0635307992097 |
L(r)(E,1)/r! |
Ω |
0.12895444968055 |
Real period |
R |
17.571186612137 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4730c2 |
Quadratic twists by: -4 |