Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
55440ds |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
2903040 |
Modular degree for the optimal curve |
Δ |
-3.2352681497598E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -6 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17677848,28621396172] |
[a1,a2,a3,a4,a6] |
Generators |
[2242:-16038:1] |
Generators of the group modulo torsion |
j |
-3273741656681120014336/1733575611796875 |
j-invariant |
L |
5.4560314936816 |
L(r)(E,1)/r! |
Ω |
0.16934252638993 |
Real period |
R |
0.80547273180927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999456 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13860j1 18480ch1 |
Quadratic twists by: -4 -3 |