Atkin-Lehner |
2+ 3- 5+ 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
93450be |
Isogeny class |
Conductor |
93450 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-7702420005000000 = -1 · 26 · 34 · 57 · 74 · 892 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 4 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,22224,4027198] |
[a1,a2,a3,a4,a6] |
Generators |
[17:-2109:1] |
Generators of the group modulo torsion |
j |
77695964477711/492954880320 |
j-invariant |
L |
6.0245140930556 |
L(r)(E,1)/r! |
Ω |
0.30199031798845 |
Real period |
R |
0.62341755406048 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000939 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18690j2 |
Quadratic twists by: 5 |