Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
4680r |
Isogeny class |
Conductor |
4680 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
2729376000 = 28 · 38 · 53 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-43887,-3538766] |
[a1,a2,a3,a4,a6] |
j |
50091484483024/14625 |
j-invariant |
L |
1.9790958996296 |
L(r)(E,1)/r! |
Ω |
0.32984931660494 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9360q1 37440bi1 1560c1 23400n1 |
Quadratic twists by: -4 8 -3 5 |