Atkin-Lehner |
2+ 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
49728cf |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
158263934976 = 218 · 32 · 72 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16577,815775] |
[a1,a2,a3,a4,a6] |
Generators |
[651:16320:1] |
Generators of the group modulo torsion |
j |
1921886786737/603729 |
j-invariant |
L |
8.764568550039 |
L(r)(E,1)/r! |
Ω |
1.002684356514 |
Real period |
R |
4.3705521548517 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000048 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
49728cu2 777d2 |
Quadratic twists by: -4 8 |