Atkin-Lehner |
2- 5+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
129200bp |
Isogeny class |
Conductor |
129200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-3.0151081E+21 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 0 2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1575325,-2529870750] |
[a1,a2,a3,a4,a6] |
Generators |
[973713114:7614854884:970299] |
Generators of the group modulo torsion |
j |
6755449219466319/47111064062500 |
j-invariant |
L |
8.7336422563485 |
L(r)(E,1)/r! |
Ω |
0.070959428332762 |
Real period |
R |
15.384922248186 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999948414 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16150a4 25840bd3 |
Quadratic twists by: -4 5 |