Atkin-Lehner |
2+ 3+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
24288b |
Isogeny class |
Conductor |
24288 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9728 |
Modular degree for the optimal curve |
Δ |
10492416 = 29 · 34 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -5 11+ -3 -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-184,1012] |
[a1,a2,a3,a4,a6] |
Generators |
[4:18:1] |
Generators of the group modulo torsion |
j |
1352899016/20493 |
j-invariant |
L |
4.147699479062 |
L(r)(E,1)/r! |
Ω |
2.2882515783412 |
Real period |
R |
0.45315160255113 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24288l1 48576dp1 72864bj1 |
Quadratic twists by: -4 8 -3 |