Atkin-Lehner |
2- 3- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
30912bx |
Isogeny class |
Conductor |
30912 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
969178742784 = 217 · 38 · 72 · 23 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 4 -4 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3169,48671] |
[a1,a2,a3,a4,a6] |
Generators |
[71:-432:1] |
Generators of the group modulo torsion |
j |
26860713266/7394247 |
j-invariant |
L |
5.964733729456 |
L(r)(E,1)/r! |
Ω |
0.82105724654797 |
Real period |
R |
0.45404368533177 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30912q2 7728a2 92736eo2 |
Quadratic twists by: -4 8 -3 |