Atkin-Lehner |
2- 3- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
58608bb |
Isogeny class |
Conductor |
58608 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
8180699977181952 = 28 · 313 · 114 · 372 |
Discriminant |
Eigenvalues |
2- 3- -4 4 11+ 6 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-118407,15066610] |
[a1,a2,a3,a4,a6] |
Generators |
[-358:3402:1] |
Generators of the group modulo torsion |
j |
983758169579344/43835197923 |
j-invariant |
L |
5.4530592592666 |
L(r)(E,1)/r! |
Ω |
0.41010943159115 |
Real period |
R |
3.3241488974093 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998223 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14652g2 19536bg2 |
Quadratic twists by: -4 -3 |