Atkin-Lehner |
2- 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
6232a |
Isogeny class |
Conductor |
6232 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1184 |
Modular degree for the optimal curve |
Δ |
-65411072 = -1 · 211 · 19 · 412 |
Discriminant |
Eigenvalues |
2- 1 2 3 0 -5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,48,-352] |
[a1,a2,a3,a4,a6] |
Generators |
[129:82:27] |
Generators of the group modulo torsion |
j |
5848414/31939 |
j-invariant |
L |
5.4194195785512 |
L(r)(E,1)/r! |
Ω |
0.98346545844057 |
Real period |
R |
2.7552668637415 |
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 |
12464a1 49856d1 56088e1 118408a1 |
Quadratic twists by: -4 8 -3 -19 |