Atkin-Lehner |
2- 3- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
98838bf |
Isogeny class |
Conductor |
98838 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
68203211516676 = 22 · 37 · 177 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 2 -4 4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-50774,-4372927] |
[a1,a2,a3,a4,a6] |
Generators |
[1526074038852144:40068900247723661:1936298553344] |
Generators of the group modulo torsion |
j |
822656953/3876 |
j-invariant |
L |
13.839841292936 |
L(r)(E,1)/r! |
Ω |
0.31813614806259 |
Real period |
R |
21.751444088818 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013371 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32946g1 5814q1 |
Quadratic twists by: -3 17 |