Atkin-Lehner |
2+ 3+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
24768a |
Isogeny class |
Conductor |
24768 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2385108467712 = -1 · 216 · 39 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 2 -2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,756,-73872] |
[a1,a2,a3,a4,a6] |
Generators |
[182940:1199744:3375] |
Generators of the group modulo torsion |
j |
37044/1849 |
j-invariant |
L |
7.1668826083657 |
L(r)(E,1)/r! |
Ω |
0.39106031304973 |
Real period |
R |
9.1633980350422 |
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 |
24768br2 3096g2 24768b2 |
Quadratic twists by: -4 8 -3 |