Atkin-Lehner |
2- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72128bp |
Isogeny class |
Conductor |
72128 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
99928628559872 = 215 · 78 · 232 |
Discriminant |
Eigenvalues |
2- -2 -2 7- 2 4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12609,-260513] |
[a1,a2,a3,a4,a6] |
Generators |
[219:-2744:1] |
Generators of the group modulo torsion |
j |
57512456/25921 |
j-invariant |
L |
4.299218342863 |
L(r)(E,1)/r! |
Ω |
0.46998510172145 |
Real period |
R |
1.1434453794745 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999976301 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72128cc2 36064d2 10304bf2 |
Quadratic twists by: -4 8 -7 |