Atkin-Lehner |
3- 7+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
15561d |
Isogeny class |
Conductor |
15561 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1588711514481 = 312 · 72 · 132 · 192 |
Discriminant |
Eigenvalues |
-1 3- 2 7+ -4 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7439,241238] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:616:1] |
Generators of the group modulo torsion |
j |
62443196514217/2179302489 |
j-invariant |
L |
3.0509322817503 |
L(r)(E,1)/r! |
Ω |
0.83931496718556 |
Real period |
R |
1.8175133299367 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5187d2 108927w2 |
Quadratic twists by: -3 -7 |