Atkin-Lehner |
2- 3- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
21672l |
Isogeny class |
Conductor |
21672 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
1348171776 = 211 · 37 · 7 · 43 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 4 -1 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2523,-48746] |
[a1,a2,a3,a4,a6] |
j |
1189646642/903 |
j-invariant |
L |
1.3473177342168 |
L(r)(E,1)/r! |
Ω |
0.67365886710838 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43344i1 7224e1 |
Quadratic twists by: -4 -3 |