Atkin-Lehner |
2- 3+ 5- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
39780i |
Isogeny class |
Conductor |
39780 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-5604504750000 = -1 · 24 · 33 · 56 · 132 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 0 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3288,-87791] |
[a1,a2,a3,a4,a6] |
Generators |
[83:870:1] |
Generators of the group modulo torsion |
j |
9099874271232/12973390625 |
j-invariant |
L |
7.0351200829061 |
L(r)(E,1)/r! |
Ω |
0.4038691441429 |
Real period |
R |
2.9032176159577 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
39780d3 |
Quadratic twists by: -3 |