Atkin-Lehner |
2- 3- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
6498r |
Isogeny class |
Conductor |
6498 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-5910009391872 = -1 · 28 · 311 · 194 |
Discriminant |
Eigenvalues |
2- 3- 0 1 2 -3 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9815,-389649] |
[a1,a2,a3,a4,a6] |
Generators |
[347:-6330:1] |
Generators of the group modulo torsion |
j |
-1100553625/62208 |
j-invariant |
L |
6.1517590029356 |
L(r)(E,1)/r! |
Ω |
0.23904385472954 |
Real period |
R |
0.2680714089879 |
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 |
51984bw1 2166a1 6498i1 |
Quadratic twists by: -4 -3 -19 |