Atkin-Lehner |
3+ 5+ 29- 43- |
Signs for the Atkin-Lehner involutions |
Class |
93525j |
Isogeny class |
Conductor |
93525 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
2568316036640625 = 36 · 57 · 293 · 432 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -2 6 -2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-73188,-7250844] |
[a1,a2,a3,a4,a6] |
Generators |
[-180:452:1] |
Generators of the group modulo torsion |
j |
2774748946640761/164372226345 |
j-invariant |
L |
3.0630400355119 |
L(r)(E,1)/r! |
Ω |
0.29133626927994 |
Real period |
R |
0.87614678490545 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024944 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18705k1 |
Quadratic twists by: 5 |