Atkin-Lehner |
2+ 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
48510u |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-7426395900 = -1 · 22 · 39 · 52 · 73 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,180,3996] |
[a1,a2,a3,a4,a6] |
Generators |
[3:-69:1] |
Generators of the group modulo torsion |
j |
2571353/29700 |
j-invariant |
L |
4.1348902746407 |
L(r)(E,1)/r! |
Ω |
0.97461176838547 |
Real period |
R |
0.53032530603261 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999628 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170cg1 48510bo1 |
Quadratic twists by: -3 -7 |