Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
129360hm |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
Δ |
2230691291136000000 = 219 · 38 · 56 · 73 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ 2 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-501648520,4324447450868] |
[a1,a2,a3,a4,a6] |
Generators |
[12926:960:1] |
Generators of the group modulo torsion |
j |
9937296563535244838593567/1587762000000 |
j-invariant |
L |
9.4978473838753 |
L(r)(E,1)/r! |
Ω |
0.1495981111167 |
Real period |
R |
0.33067232156454 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000084847 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170q2 129360dy2 |
Quadratic twists by: -4 -7 |