Atkin-Lehner |
3- 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
15561m |
Isogeny class |
Conductor |
15561 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-185284827 = -1 · 37 · 73 · 13 · 19 |
Discriminant |
Eigenvalues |
-2 3- 2 7- 1 13+ 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-129,864] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:31:1] |
Generators of the group modulo torsion |
j |
-325660672/254163 |
j-invariant |
L |
3.0451000189373 |
L(r)(E,1)/r! |
Ω |
1.6500967883289 |
Real period |
R |
0.30756781869556 |
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 |
5187k1 108927bf1 |
Quadratic twists by: -3 -7 |