Atkin-Lehner |
2- 3- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
48642bc |
Isogeny class |
Conductor |
48642 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
Δ |
-58925629555347456 = -1 · 212 · 33 · 116 · 673 |
Discriminant |
Eigenvalues |
2- 3- -3 1 11- 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,96858,-1327644] |
[a1,a2,a3,a4,a6] |
Generators |
[2100:96234:1] |
Generators of the group modulo torsion |
j |
56724909592967/33261981696 |
j-invariant |
L |
10.153949803546 |
L(r)(E,1)/r! |
Ω |
0.20682629450738 |
Real period |
R |
0.22728747802726 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999927 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
402d2 |
Quadratic twists by: -11 |