Atkin-Lehner |
3- 5- 23+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
73485i |
Isogeny class |
Conductor |
73485 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17088 |
Modular degree for the optimal curve |
Δ |
5952285 = 36 · 5 · 23 · 71 |
Discriminant |
Eigenvalues |
0 3- 5- -2 3 -6 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-192,1017] |
[a1,a2,a3,a4,a6] |
Generators |
[5:13:1] |
Generators of the group modulo torsion |
j |
1073741824/8165 |
j-invariant |
L |
4.697531005443 |
L(r)(E,1)/r! |
Ω |
2.405913474386 |
Real period |
R |
0.97624687183787 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999976139 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8165a1 |
Quadratic twists by: -3 |