Atkin-Lehner |
2- 3- 5+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
42210u |
Isogeny class |
Conductor |
42210 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
420826657683600 = 24 · 314 · 52 · 72 · 672 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-36383,-2472969] |
[a1,a2,a3,a4,a6] |
Generators |
[-930:3811:8] |
Generators of the group modulo torsion |
j |
7306014206410921/577265648400 |
j-invariant |
L |
9.2317292695642 |
L(r)(E,1)/r! |
Ω |
0.34741312507238 |
Real period |
R |
3.3215963226922 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14070b2 |
Quadratic twists by: -3 |