Atkin-Lehner |
2- 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
89232by |
Isogeny class |
Conductor |
89232 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
2201472 |
Modular degree for the optimal curve |
Δ |
-884180473880850432 = -1 · 212 · 37 · 112 · 138 |
Discriminant |
Eigenvalues |
2- 3- 2 3 11+ 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4405717,-3561125437] |
[a1,a2,a3,a4,a6] |
Generators |
[3524382440:826453005741:64000] |
Generators of the group modulo torsion |
j |
-2830523957248/264627 |
j-invariant |
L |
11.112020818503 |
L(r)(E,1)/r! |
Ω |
0.052103028268832 |
Real period |
R |
15.233582367899 |
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 |
5577e1 89232cr1 |
Quadratic twists by: -4 13 |