Atkin-Lehner |
2+ 3+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
24552a |
Isogeny class |
Conductor |
24552 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-36620142768 = -1 · 24 · 39 · 112 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 11+ 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,810,2457] |
[a1,a2,a3,a4,a6] |
Generators |
[24:189:1] |
Generators of the group modulo torsion |
j |
186624000/116281 |
j-invariant |
L |
5.1983223960171 |
L(r)(E,1)/r! |
Ω |
0.71624421642815 |
Real period |
R |
1.8144378260884 |
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 |
49104e1 24552k1 |
Quadratic twists by: -4 -3 |