Atkin-Lehner |
5- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
72275q |
Isogeny class |
Conductor |
72275 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
169344 |
Modular degree for the optimal curve |
Δ |
1488039258125 = 54 · 79 · 59 |
Discriminant |
Eigenvalues |
2 2 5- 7- 6 -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2858,4843] |
[a1,a2,a3,a4,a6] |
Generators |
[366:235:216] |
Generators of the group modulo torsion |
j |
102400/59 |
j-invariant |
L |
20.159237596518 |
L(r)(E,1)/r! |
Ω |
0.72369191375684 |
Real period |
R |
4.6426840881038 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000192 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72275i1 72275r1 |
Quadratic twists by: 5 -7 |