Atkin-Lehner |
2- 3- 5+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
42570x |
Isogeny class |
Conductor |
42570 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
Δ |
382067883948960000 = 28 · 36 · 54 · 116 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-280568,48932731] |
[a1,a2,a3,a4,a6] |
Generators |
[-395:10097:1] |
Generators of the group modulo torsion |
j |
3350496292255693881/524098606240000 |
j-invariant |
L |
9.0919622656369 |
L(r)(E,1)/r! |
Ω |
0.28801686277417 |
Real period |
R |
0.65765552304705 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4730b2 |
Quadratic twists by: -3 |