Atkin-Lehner |
2- 3- 7+ 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
84546bl |
Isogeny class |
Conductor |
84546 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
-285103591686144 = -1 · 215 · 37 · 72 · 113 · 61 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 11- -1 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-360518,83411925] |
[a1,a2,a3,a4,a6] |
Generators |
[389:-1581:1] [-535:11355:1] |
Generators of the group modulo torsion |
j |
-7108466381424397081/391088603136 |
j-invariant |
L |
14.988580377061 |
L(r)(E,1)/r! |
Ω |
0.51833449909959 |
Real period |
R |
0.08032447302803 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998593 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28182a1 |
Quadratic twists by: -3 |