Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37440bh |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-727833600000000 = -1 · 216 · 37 · 58 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 4 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,22452,-89872] |
[a1,a2,a3,a4,a6] |
j |
26198797244/15234375 |
j-invariant |
L |
2.400488665104 |
L(r)(E,1)/r! |
Ω |
0.30006108313285 |
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 |
37440dz3 4680v4 12480m4 |
Quadratic twists by: -4 8 -3 |