Atkin-Lehner |
2- 3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
72072bp |
Isogeny class |
Conductor |
72072 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4449677473583806464 = 211 · 312 · 7 · 112 · 136 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1887051,992579110] |
[a1,a2,a3,a4,a6] |
Generators |
[1886534:5076882:2197] |
Generators of the group modulo torsion |
j |
497756734472695826/2980375965567 |
j-invariant |
L |
5.0605850361499 |
L(r)(E,1)/r! |
Ω |
0.24653777471442 |
Real period |
R |
10.263305575178 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001408 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24024o2 |
Quadratic twists by: -3 |