Atkin-Lehner |
2+ 3- 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
38640x |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
2112642000 = 24 · 38 · 53 · 7 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6735,-214992] |
[a1,a2,a3,a4,a6] |
Generators |
[96:180:1] |
Generators of the group modulo torsion |
j |
2111937254864896/132040125 |
j-invariant |
L |
7.1048932623933 |
L(r)(E,1)/r! |
Ω |
0.52700096493948 |
Real period |
R |
2.2469577018733 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19320t1 115920s1 |
Quadratic twists by: -4 -3 |