Atkin-Lehner |
2- 3- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
9024bq |
Isogeny class |
Conductor |
9024 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
2240 |
Modular degree for the optimal curve |
Δ |
6578496 = 26 · 37 · 47 |
Discriminant |
Eigenvalues |
2- 3- 3 3 -5 -2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-49,-67] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:9:1] |
Generators of the group modulo torsion |
j |
207474688/102789 |
j-invariant |
L |
6.3058191609295 |
L(r)(E,1)/r! |
Ω |
1.8955325898122 |
Real period |
R |
0.47523915629089 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9024l1 2256h1 27072cr1 |
Quadratic twists by: -4 8 -3 |