Atkin-Lehner |
2- 3+ 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
48300i |
Isogeny class |
Conductor |
48300 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1166400 |
Modular degree for the optimal curve |
Δ |
-9537115603680000 = -1 · 28 · 33 · 54 · 73 · 235 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -1 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12387333,16785014337] |
[a1,a2,a3,a4,a6] |
Generators |
[1991:3218:1] |
Generators of the group modulo torsion |
j |
-1313824034189516800000/59606972523 |
j-invariant |
L |
4.1225448956124 |
L(r)(E,1)/r! |
Ω |
0.30503349173597 |
Real period |
R |
4.5050188556266 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48300t1 |
Quadratic twists by: 5 |