Atkin-Lehner |
2- 3- 5+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
42210s |
Isogeny class |
Conductor |
42210 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
521858454468750 = 2 · 312 · 56 · 7 · 672 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-488318,-131214769] |
[a1,a2,a3,a4,a6] |
Generators |
[856185870045180:-33321504551511997:478211768000] |
Generators of the group modulo torsion |
j |
17664589505842697881/715855218750 |
j-invariant |
L |
8.8580583118433 |
L(r)(E,1)/r! |
Ω |
0.18060301528585 |
Real period |
R |
24.523561519237 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14070e2 |
Quadratic twists by: -3 |