Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
13680p |
Isogeny class |
Conductor |
13680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-9095120640 = -1 · 28 · 39 · 5 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -2 -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,177,-4498] |
[a1,a2,a3,a4,a6] |
Generators |
[94:918:1] |
Generators of the group modulo torsion |
j |
3286064/48735 |
j-invariant |
L |
4.5123071002784 |
L(r)(E,1)/r! |
Ω |
0.63537702569991 |
Real period |
R |
3.5508894072049 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6840o1 54720ek1 4560e1 68400cc1 |
Quadratic twists by: -4 8 -3 5 |