Atkin-Lehner |
2+ 3- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
47328n |
Isogeny class |
Conductor |
47328 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-840279340560384 = -1 · 212 · 315 · 17 · 292 |
Discriminant |
Eigenvalues |
2+ 3- -1 -4 -3 -1 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22781,1915083] |
[a1,a2,a3,a4,a6] |
Generators |
[-167:1044:1] [121:972:1] |
Generators of the group modulo torsion |
j |
-319228149251584/205146323379 |
j-invariant |
L |
9.3830568469122 |
L(r)(E,1)/r! |
Ω |
0.46302438226738 |
Real period |
R |
0.33774523928112 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47328s1 94656j1 |
Quadratic twists by: -4 8 |