Atkin-Lehner |
2- 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
89298cs |
Isogeny class |
Conductor |
89298 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-65688836751889362 = -1 · 2 · 38 · 116 · 414 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,66406,-10441285] |
[a1,a2,a3,a4,a6] |
Generators |
[2070:38165:8] |
Generators of the group modulo torsion |
j |
25076571983/50863698 |
j-invariant |
L |
10.006594874357 |
L(r)(E,1)/r! |
Ω |
0.1815610979793 |
Real period |
R |
3.4446375690503 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007511 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29766t3 738c4 |
Quadratic twists by: -3 -11 |