Atkin-Lehner |
2+ 3- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47880o |
Isogeny class |
Conductor |
47880 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
20610770014800 = 24 · 318 · 52 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12162,-467759] |
[a1,a2,a3,a4,a6] |
Generators |
[-63:220:1] |
Generators of the group modulo torsion |
j |
17056550262784/1767041325 |
j-invariant |
L |
6.4963231355838 |
L(r)(E,1)/r! |
Ω |
0.45766181708066 |
Real period |
R |
3.5486482011026 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95760bp1 15960n1 |
Quadratic twists by: -4 -3 |