Atkin-Lehner |
2- 3- 5+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
42570z |
Isogeny class |
Conductor |
42570 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
12894791083277400 = 23 · 39 · 52 · 116 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11- -4 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18367544408,958135304037827] |
[a1,a2,a3,a4,a6] |
Generators |
[10119546002003451:-4880806198857835:129323920193] |
Generators of the group modulo torsion |
j |
940046808646013334674778637771321/17688327960600 |
j-invariant |
L |
6.7873801101961 |
L(r)(E,1)/r! |
Ω |
0.093745363969397 |
Real period |
R |
18.100575385262 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
14190i4 |
Quadratic twists by: -3 |