Atkin-Lehner |
5- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
72275p |
Isogeny class |
Conductor |
72275 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
799875330078125 = 59 · 76 · 592 |
Discriminant |
Eigenvalues |
-1 2 5- 7- -4 2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-25138,697906] |
[a1,a2,a3,a4,a6] |
Generators |
[-4578:11686:27] |
Generators of the group modulo torsion |
j |
7645373/3481 |
j-invariant |
L |
5.1217417470535 |
L(r)(E,1)/r! |
Ω |
0.45102178659441 |
Real period |
R |
5.6779316411206 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002295 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72275o2 1475b2 |
Quadratic twists by: 5 -7 |