Atkin-Lehner |
2- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
98192p |
Isogeny class |
Conductor |
98192 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
5468339910766297088 = 216 · 173 · 198 |
Discriminant |
Eigenvalues |
2- 2 2 0 4 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-444872,-19487248] |
[a1,a2,a3,a4,a6] |
Generators |
[-1619580012:-63561824288:8120601] |
Generators of the group modulo torsion |
j |
50529889873/28377488 |
j-invariant |
L |
12.020596295255 |
L(r)(E,1)/r! |
Ω |
0.19882367210541 |
Real period |
R |
15.114644232716 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000163 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12274f1 5168i1 |
Quadratic twists by: -4 -19 |