Atkin-Lehner |
2+ 3+ 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
19998b |
Isogeny class |
Conductor |
19998 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
97180560972 = 22 · 39 · 112 · 1012 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 11- -6 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5875782,-5480627176] |
[a1,a2,a3,a4,a6] |
Generators |
[-24878016009:12441054113:17779581] |
Generators of the group modulo torsion |
j |
1139802183525752557875/4937284 |
j-invariant |
L |
3.9881631216443 |
L(r)(E,1)/r! |
Ω |
0.096969048152068 |
Real period |
R |
10.282051844497 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19998k2 |
Quadratic twists by: -3 |