Atkin-Lehner |
2+ 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
5586i |
Isogeny class |
Conductor |
5586 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
-1698144 = -1 · 25 · 3 · 72 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- -1 -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-53,141] |
[a1,a2,a3,a4,a6] |
Generators |
[1:9:1] |
Generators of the group modulo torsion |
j |
-346016041/34656 |
j-invariant |
L |
2.1461347536521 |
L(r)(E,1)/r! |
Ω |
2.5919636420744 |
Real period |
R |
0.41399785066709 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44688cr1 16758bm1 5586l1 106134ct1 |
Quadratic twists by: -4 -3 -7 -19 |