Atkin-Lehner |
2- 7+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
33488n |
Isogeny class |
Conductor |
33488 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
131843059712 = 212 · 72 · 134 · 23 |
Discriminant |
Eigenvalues |
2- -2 0 7+ 4 13+ 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1568,15796] |
[a1,a2,a3,a4,a6] |
Generators |
[4:98:1] |
Generators of the group modulo torsion |
j |
104154702625/32188247 |
j-invariant |
L |
3.8437351359268 |
L(r)(E,1)/r! |
Ω |
0.9627713991709 |
Real period |
R |
1.9961826552163 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2093d2 |
Quadratic twists by: -4 |