Atkin-Lehner |
2- 3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
30912bs |
Isogeny class |
Conductor |
30912 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
148927882331160576 = 223 · 38 · 76 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 -4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-214177,-33256895] |
[a1,a2,a3,a4,a6] |
j |
4144806984356137/568114785504 |
j-invariant |
L |
2.6873047365953 |
L(r)(E,1)/r! |
Ω |
0.22394206138304 |
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 |
30912t2 7728u2 92736fb2 |
Quadratic twists by: -4 8 -3 |