Atkin-Lehner |
2+ 3+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
19776a |
Isogeny class |
Conductor |
19776 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2816 |
Modular degree for the optimal curve |
Δ |
-10125312 = -1 · 215 · 3 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 3 -2 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33,-159] |
[a1,a2,a3,a4,a6] |
Generators |
[8:5:1] |
Generators of the group modulo torsion |
j |
-125000/309 |
j-invariant |
L |
4.5679795918948 |
L(r)(E,1)/r! |
Ω |
0.92578049489582 |
Real period |
R |
2.4670964753955 |
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 |
19776r1 9888c1 59328e1 |
Quadratic twists by: -4 8 -3 |