Atkin-Lehner |
5- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
72275o |
Isogeny class |
Conductor |
72275 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
51192021125 = 53 · 76 · 592 |
Discriminant |
Eigenvalues |
1 -2 5- 7- -4 -2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1006,5583] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:122:1] |
Generators of the group modulo torsion |
j |
7645373/3481 |
j-invariant |
L |
3.2268669085392 |
L(r)(E,1)/r! |
Ω |
1.0085153741585 |
Real period |
R |
1.5998104689166 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003889 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72275p2 1475a2 |
Quadratic twists by: 5 -7 |