Atkin-Lehner |
2+ 3+ 5+ 29+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
40890b |
Isogeny class |
Conductor |
40890 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-54849700840500 = -1 · 22 · 310 · 53 · 292 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -6 4 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4233,-373527] |
[a1,a2,a3,a4,a6] |
Generators |
[98:357:1] |
Generators of the group modulo torsion |
j |
-8391291653858329/54849700840500 |
j-invariant |
L |
3.1487166511839 |
L(r)(E,1)/r! |
Ω |
0.26355606231811 |
Real period |
R |
2.9867617381686 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122670cj2 |
Quadratic twists by: -3 |