Atkin-Lehner |
2+ 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
120384bk |
Isogeny class |
Conductor |
120384 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-15277094889357312 = -1 · 215 · 36 · 116 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 11- -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-303084,-64498032] |
[a1,a2,a3,a4,a6] |
Generators |
[1164:34056:1] |
Generators of the group modulo torsion |
j |
-128894765196744/639533521 |
j-invariant |
L |
8.5707720374219 |
L(r)(E,1)/r! |
Ω |
0.10170678376501 |
Real period |
R |
3.5112259747986 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001653 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120384z2 60192e2 13376b2 |
Quadratic twists by: -4 8 -3 |