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 |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-140341248 = -1 · 212 · 36 · 47 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 -2 -4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9,567] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:21:1] [-3:24:1] |
Generators of the group modulo torsion |
j |
-21952/34263 |
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 |
9024j1 4512b1 27072be1 |
Quadratic twists by: -4 8 -3 |