Atkin-Lehner |
2- 3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
35568bo |
Isogeny class |
Conductor |
35568 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
-1.9750165715792E+21 |
Discriminant |
Eigenvalues |
2- 3- 3 -3 0 13+ 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1707189,1958232058] |
[a1,a2,a3,a4,a6] |
Generators |
[1407876067:85226428278:1030301] |
Generators of the group modulo torsion |
j |
184281206604333047/661429053732096 |
j-invariant |
L |
6.4280251340337 |
L(r)(E,1)/r! |
Ω |
0.10477042992258 |
Real period |
R |
15.338357251144 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4446r1 11856bh1 |
Quadratic twists by: -4 -3 |