Atkin-Lehner |
2- 7- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
89782bk |
Isogeny class |
Conductor |
89782 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-27310015891312 = -1 · 24 · 73 · 116 · 532 |
Discriminant |
Eigenvalues |
2- 2 4 7- 11- -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7686,-364429] |
[a1,a2,a3,a4,a6] |
Generators |
[4485:44329:27] |
Generators of the group modulo torsion |
j |
-28344726649/15415792 |
j-invariant |
L |
20.17117293835 |
L(r)(E,1)/r! |
Ω |
0.24863489130803 |
Real period |
R |
3.3803201751419 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999972059 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
742b1 |
Quadratic twists by: -11 |