Atkin-Lehner |
2+ 3+ 5+ 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
42570a |
Isogeny class |
Conductor |
42570 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-7309226430 = -1 · 2 · 33 · 5 · 114 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 11+ -6 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-165,4235] |
[a1,a2,a3,a4,a6] |
Generators |
[11:-66:1] [46:447:8] |
Generators of the group modulo torsion |
j |
-18462541707/270712090 |
j-invariant |
L |
6.0038348161608 |
L(r)(E,1)/r! |
Ω |
1.1194329224073 |
Real period |
R |
2.6816411666948 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42570r2 |
Quadratic twists by: -3 |