Atkin-Lehner |
2- 5- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
106580c |
Isogeny class |
Conductor |
106580 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-5161344588122118400 = -1 · 28 · 52 · 738 |
Discriminant |
Eigenvalues |
2- 2 5- 4 -2 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-619940,-217153000] |
[a1,a2,a3,a4,a6] |
Generators |
[108347491783924967783478459853569822435991552836472945:5780632694374333381203239790065672807768299799272346970:35265904980097330928684617311883742516878257184129] |
Generators of the group modulo torsion |
j |
-680136784/133225 |
j-invariant |
L |
12.96207841762 |
L(r)(E,1)/r! |
Ω |
0.08418095863214 |
Real period |
R |
76.98937282398 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1460a2 |
Quadratic twists by: 73 |