Atkin-Lehner |
2+ 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
1886b |
Isogeny class |
Conductor |
1886 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
1388096 = 26 · 232 · 41 |
Discriminant |
Eigenvalues |
2+ 2 2 4 -2 0 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-454,3540] |
[a1,a2,a3,a4,a6] |
j |
10384488145513/1388096 |
j-invariant |
L |
2.6046839551683 |
L(r)(E,1)/r! |
Ω |
2.6046839551683 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15088b1 60352g1 16974n1 47150h1 |
Quadratic twists by: -4 8 -3 5 |