Atkin-Lehner |
2- 3+ 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
39216q |
Isogeny class |
Conductor |
39216 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
123362869248 = 224 · 32 · 19 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 -4 -6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2792,55152] |
[a1,a2,a3,a4,a6] |
Generators |
[18:102:1] |
Generators of the group modulo torsion |
j |
587848678633/30117888 |
j-invariant |
L |
6.0364136594374 |
L(r)(E,1)/r! |
Ω |
1.0317854679441 |
Real period |
R |
2.9252271169633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4902f1 117648bj1 |
Quadratic twists by: -4 -3 |