Atkin-Lehner |
3- 13+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
57681h |
Isogeny class |
Conductor |
57681 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-25182802953009 = -1 · 36 · 132 · 172 · 294 |
Discriminant |
Eigenvalues |
-1 3- 2 2 -6 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,5431,184538] |
[a1,a2,a3,a4,a6] |
Generators |
[36:634:1] |
Generators of the group modulo torsion |
j |
24305835707063/34544311321 |
j-invariant |
L |
3.9623301157452 |
L(r)(E,1)/r! |
Ω |
0.45421641311784 |
Real period |
R |
1.0904301345194 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000225 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6409b2 |
Quadratic twists by: -3 |