Atkin-Lehner |
2- 3+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
9024ba |
Isogeny class |
Conductor |
9024 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-8981839872 = -1 · 218 · 36 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 0 -6 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-513,6561] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:56:1] [0:81:1] |
Generators of the group modulo torsion |
j |
-57066625/34263 |
j-invariant |
L |
4.7224338263196 |
L(r)(E,1)/r! |
Ω |
1.2045864816758 |
Real period |
R |
1.9601887860099 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9024s1 2256l1 27072cj1 |
Quadratic twists by: -4 8 -3 |