Atkin-Lehner |
2- 3+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
23826x |
Isogeny class |
Conductor |
23826 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
8618400 |
Modular degree for the optimal curve |
Δ |
-2.0510918107378E+19 |
Discriminant |
Eigenvalues |
2- 3+ 0 -1 11+ -5 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2354642543,-43978993085131] |
[a1,a2,a3,a4,a6] |
Generators |
[6573064004251191:-70001234222078587474:57960603] |
Generators of the group modulo torsion |
j |
-235484681972809299625/3345408 |
j-invariant |
L |
6.207309970086 |
L(r)(E,1)/r! |
Ω |
0.010836481961518 |
Real period |
R |
28.640798702609 |
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 |
71478z1 23826n1 |
Quadratic twists by: -3 -19 |