Atkin-Lehner |
5- 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
5005b |
Isogeny class |
Conductor |
5005 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
35699622785201375 = 53 · 7 · 1112 · 13 |
Discriminant |
Eigenvalues |
1 0 5- 7+ 11+ 13+ -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-97574,-7391007] |
[a1,a2,a3,a4,a6] |
j |
102737393421678887481/35699622785201375 |
j-invariant |
L |
1.6668300854059 |
L(r)(E,1)/r! |
Ω |
0.27780501423431 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80080bx3 45045r3 25025h3 35035c3 |
Quadratic twists by: -4 -3 5 -7 |