Atkin-Lehner |
2- 3+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
78144cj |
Isogeny class |
Conductor |
78144 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
293111267328 = 216 · 33 · 112 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 4 2 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1761,12033] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:80:1] |
Generators of the group modulo torsion |
j |
9220796644/4472523 |
j-invariant |
L |
8.4375996472912 |
L(r)(E,1)/r! |
Ω |
0.86514520479682 |
Real period |
R |
2.4382033205488 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003462 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78144bd2 19536m2 |
Quadratic twists by: -4 8 |