Atkin-Lehner |
2+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
16576g |
Isogeny class |
Conductor |
16576 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
1141116239872 = 218 · 76 · 37 |
Discriminant |
Eigenvalues |
2+ 0 -4 7- -4 -4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12172,-514320] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:21:1] |
Generators of the group modulo torsion |
j |
760798453689/4353013 |
j-invariant |
L |
2.7400474501421 |
L(r)(E,1)/r! |
Ω |
0.45468298683655 |
Real period |
R |
2.008760337399 |
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 |
16576i2 259a2 116032k2 |
Quadratic twists by: -4 8 -7 |