Atkin-Lehner |
2+ 3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
22848r |
Isogeny class |
Conductor |
22848 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2088124416 = 214 · 32 · 72 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 4 -6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-497,3825] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:85:1] |
Generators of the group modulo torsion |
j |
830321872/127449 |
j-invariant |
L |
5.4027382749202 |
L(r)(E,1)/r! |
Ω |
1.4068813469791 |
Real period |
R |
1.9201115596995 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
22848co2 2856c2 68544cc2 |
Quadratic twists by: -4 8 -3 |