Atkin-Lehner |
2- 3- 5+ 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
21090n |
Isogeny class |
Conductor |
21090 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
43192320 = 212 · 3 · 5 · 19 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-241,1385] |
[a1,a2,a3,a4,a6] |
j |
1548415333009/43192320 |
j-invariant |
L |
6.0652109114341 |
L(r)(E,1)/r! |
Ω |
2.0217369704781 |
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 |
63270s1 105450n1 |
Quadratic twists by: -3 5 |