Atkin-Lehner |
2+ 3- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
30912v |
Isogeny class |
Conductor |
30912 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
121362715901952 = 217 · 36 · 74 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 2 6 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-122913,-16618689] |
[a1,a2,a3,a4,a6] |
Generators |
[585:10584:1] |
Generators of the group modulo torsion |
j |
1566789944863250/925924041 |
j-invariant |
L |
7.2890307304791 |
L(r)(E,1)/r! |
Ω |
0.25498533912744 |
Real period |
R |
2.3821731461836 |
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 |
30912bm2 3864a2 92736ba2 |
Quadratic twists by: -4 8 -3 |