Atkin-Lehner |
2+ 3- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
9024p |
Isogeny class |
Conductor |
9024 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1954381824 = 215 · 33 · 472 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 -2 -4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1089,13311] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:120:1] [-30:141:1] |
Generators of the group modulo torsion |
j |
4362708104/59643 |
j-invariant |
L |
5.6317093200833 |
L(r)(E,1)/r! |
Ω |
1.4812133111911 |
Real period |
R |
0.63368200442322 |
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 |
9024j2 4512b2 27072be2 |
Quadratic twists by: -4 8 -3 |