Atkin-Lehner |
2+ 3+ 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
53328d |
Isogeny class |
Conductor |
53328 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
3297994647552 = 211 · 32 · 116 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ -4 2 11- -4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5640,139536] |
[a1,a2,a3,a4,a6] |
Generators |
[-64:484:1] |
Generators of the group modulo torsion |
j |
9689649595922/1610348949 |
j-invariant |
L |
3.1017326745407 |
L(r)(E,1)/r! |
Ω |
0.75927330901549 |
Real period |
R |
0.34042777457539 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998356 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26664c2 |
Quadratic twists by: -4 |