Atkin-Lehner |
2+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
72128k |
Isogeny class |
Conductor |
72128 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
8157439066112 = 217 · 76 · 232 |
Discriminant |
Eigenvalues |
2+ 0 0 7- -6 -2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6860,-170128] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:196:1] |
Generators of the group modulo torsion |
j |
2315250/529 |
j-invariant |
L |
3.5636760948492 |
L(r)(E,1)/r! |
Ω |
0.53319815723253 |
Real period |
R |
1.6708966663409 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003293 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72128bb2 9016f2 1472c2 |
Quadratic twists by: -4 8 -7 |