Atkin-Lehner |
2- 3- 11+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
53328s |
Isogeny class |
Conductor |
53328 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
8695569399618207744 = 230 · 38 · 112 · 1012 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11+ -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22339624,40633074356] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:201798:1] |
Generators of the group modulo torsion |
j |
301017234291938305304617/2122941747953664 |
j-invariant |
L |
5.1977640122575 |
L(r)(E,1)/r! |
Ω |
0.20744939394716 |
Real period |
R |
3.1319469735146 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000003 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6666b2 |
Quadratic twists by: -4 |