Atkin-Lehner |
2- 3+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
48576cl |
Isogeny class |
Conductor |
48576 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
38912 |
Modular degree for the optimal curve |
Δ |
671514624 = 215 · 34 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -3 5 11+ 3 -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-737,-7359] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:9:1] |
Generators of the group modulo torsion |
j |
1352899016/20493 |
j-invariant |
L |
5.0342700588185 |
L(r)(E,1)/r! |
Ω |
0.91702702708712 |
Real period |
R |
1.3724432078095 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48576dp1 24288l1 |
Quadratic twists by: -4 8 |