Atkin-Lehner |
2- 3+ 5- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
42570r |
Isogeny class |
Conductor |
42570 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-5328426067470 = -1 · 2 · 39 · 5 · 114 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 11- -6 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1487,-112859] |
[a1,a2,a3,a4,a6] |
Generators |
[59154:935411:216] |
Generators of the group modulo torsion |
j |
-18462541707/270712090 |
j-invariant |
L |
9.0449918492403 |
L(r)(E,1)/r! |
Ω |
0.32716939383466 |
Real period |
R |
6.911551034178 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42570a2 |
Quadratic twists by: -3 |