Atkin-Lehner |
2- 3+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
53724a |
Isogeny class |
Conductor |
53724 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1862605062912 = 28 · 3 · 116 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 11- 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3428,-39576] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:74:1] |
Generators of the group modulo torsion |
j |
9826000/4107 |
j-invariant |
L |
4.9698515568795 |
L(r)(E,1)/r! |
Ω |
0.64751575931379 |
Real period |
R |
1.2792099356755 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
444a2 |
Quadratic twists by: -11 |