Atkin-Lehner |
2+ 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
5586j |
Isogeny class |
Conductor |
5586 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
20867011594128 = 24 · 35 · 710 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7914,155268] |
[a1,a2,a3,a4,a6] |
Generators |
[104:634:1] |
Generators of the group modulo torsion |
j |
466025146777/177366672 |
j-invariant |
L |
2.7503315533901 |
L(r)(E,1)/r! |
Ω |
0.62184520354848 |
Real period |
R |
2.211427810085 |
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 |
44688cw1 16758bp1 798d1 106134da1 |
Quadratic twists by: -4 -3 -7 -19 |