Atkin-Lehner |
2- 3- 5- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
72240cv |
Isogeny class |
Conductor |
72240 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
Δ |
195698160000000000 = 213 · 33 · 510 · 72 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 0 8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-181000,-20687500] |
[a1,a2,a3,a4,a6] |
Generators |
[950:-25800:1] |
Generators of the group modulo torsion |
j |
160103891548629001/47777871093750 |
j-invariant |
L |
9.2546809894463 |
L(r)(E,1)/r! |
Ω |
0.23679330608699 |
Real period |
R |
0.32569477085357 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001693 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9030f2 |
Quadratic twists by: -4 |