Atkin-Lehner |
5- 7+ 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
21385k |
Isogeny class |
Conductor |
21385 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
39680 |
Modular degree for the optimal curve |
Δ |
-534429861875 = -1 · 54 · 72 · 135 · 47 |
Discriminant |
Eigenvalues |
2 1 5- 7+ -3 13+ -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,1890,16039] |
[a1,a2,a3,a4,a6] |
j |
746241365233664/534429861875 |
j-invariant |
L |
4.7007277044878 |
L(r)(E,1)/r! |
Ω |
0.58759096306097 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106925u1 |
Quadratic twists by: 5 |