Atkin-Lehner |
2- 3- 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
84960br |
Isogeny class |
Conductor |
84960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
779565772800 = 212 · 37 · 52 · 592 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2892,42176] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:295:1] |
Generators of the group modulo torsion |
j |
895841344/261075 |
j-invariant |
L |
5.1396168139476 |
L(r)(E,1)/r! |
Ω |
0.83328659584392 |
Real period |
R |
1.5419715242672 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008888 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84960bm2 28320e2 |
Quadratic twists by: -4 -3 |