Atkin-Lehner |
2- 3- 5- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
42570bc |
Isogeny class |
Conductor |
42570 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-35522840449800 = -1 · 23 · 38 · 52 · 114 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11+ -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,6673,-197121] |
[a1,a2,a3,a4,a6] |
Generators |
[57:576:1] |
Generators of the group modulo torsion |
j |
45083805930071/48728176200 |
j-invariant |
L |
9.2655941573813 |
L(r)(E,1)/r! |
Ω |
0.35266084345 |
Real period |
R |
1.0947243800792 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14190c2 |
Quadratic twists by: -3 |