Atkin-Lehner |
2+ 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
98736bc |
Isogeny class |
Conductor |
98736 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1.3364867322778E+19 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 11- -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3464512,2474659460] |
[a1,a2,a3,a4,a6] |
Generators |
[-1282:69360:1] |
Generators of the group modulo torsion |
j |
2535093488117092/7367303889 |
j-invariant |
L |
8.2979079314463 |
L(r)(E,1)/r! |
Ω |
0.22453123331792 |
Real period |
R |
3.0797155314836 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015447 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
49368f2 8976k2 |
Quadratic twists by: -4 -11 |