Atkin-Lehner |
2- 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
123840gn |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
53002410393600 = 219 · 37 · 52 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -4 -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15852,-683696] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:288:1] |
Generators of the group modulo torsion |
j |
2305199161/277350 |
j-invariant |
L |
4.0111993261682 |
L(r)(E,1)/r! |
Ω |
0.4288289959265 |
Real period |
R |
1.1692304262119 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000121497 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123840cv2 30960bi2 41280dd2 |
Quadratic twists by: -4 8 -3 |