Atkin-Lehner |
2- 3- 17+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
63036a |
Isogeny class |
Conductor |
63036 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
3928320 |
Modular degree for the optimal curve |
Δ |
-984093499397376 = -1 · 28 · 317 · 172 · 103 |
Discriminant |
Eigenvalues |
2- 3- 1 -2 2 -5 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-183045567,953206372262] |
[a1,a2,a3,a4,a6] |
Generators |
[7811:-34:1] |
Generators of the group modulo torsion |
j |
-3634409552474418115140304/5273134749 |
j-invariant |
L |
5.7050805941484 |
L(r)(E,1)/r! |
Ω |
0.22319354019324 |
Real period |
R |
1.065047362986 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000019 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21012a1 |
Quadratic twists by: -3 |