Atkin-Lehner |
2- 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
106470dz |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-55388331048960 = -1 · 218 · 36 · 5 · 73 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 13+ 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3712,-348253] |
[a1,a2,a3,a4,a6] |
Generators |
[61:289:1] |
Generators of the group modulo torsion |
j |
45924354671/449576960 |
j-invariant |
L |
10.036260254323 |
L(r)(E,1)/r! |
Ω |
0.31030875452495 |
Real period |
R |
1.7968233404318 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022567 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11830f1 106470cs1 |
Quadratic twists by: -3 13 |