Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
5586bb |
Isogeny class |
Conductor |
5586 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
63285689843712 = 220 · 33 · 76 · 19 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-17249,782025] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:1195:1] |
Generators of the group modulo torsion |
j |
4824238966273/537919488 |
j-invariant |
L |
5.9441218397789 |
L(r)(E,1)/r! |
Ω |
0.60183848332592 |
Real period |
R |
0.16461010732011 |
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 |
44688cd1 16758n1 114c1 106134q1 |
Quadratic twists by: -4 -3 -7 -19 |