Atkin-Lehner |
2- 3- 5- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
42570bb |
Isogeny class |
Conductor |
42570 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
516053660976562500 = 22 · 310 · 510 · 112 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11+ 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1856597,973548969] |
[a1,a2,a3,a4,a6] |
Generators |
[-573:43286:1] |
Generators of the group modulo torsion |
j |
970842763014711063049/707892539062500 |
j-invariant |
L |
10.349775800568 |
L(r)(E,1)/r! |
Ω |
0.29088898914639 |
Real period |
R |
1.7789906436372 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14190b2 |
Quadratic twists by: -3 |