Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42840bj |
Isogeny class |
Conductor |
42840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-17184692972160000 = -1 · 210 · 38 · 54 · 72 · 174 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,62997,-1655498] |
[a1,a2,a3,a4,a6] |
Generators |
[51:1300:1] |
Generators of the group modulo torsion |
j |
37038708251996/23020475625 |
j-invariant |
L |
5.2973567704965 |
L(r)(E,1)/r! |
Ω |
0.22471425139949 |
Real period |
R |
2.9467182975193 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85680w3 14280x4 |
Quadratic twists by: -4 -3 |