Atkin-Lehner |
2- 3- 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
56640dh |
Isogeny class |
Conductor |
56640 |
Conductor |
∏ cp |
75 |
Product of Tamagawa factors cp |
Δ |
7168500000000000000 = 214 · 35 · 515 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 3 -5 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-134831285,602561977683] |
[a1,a2,a3,a4,a6] |
Generators |
[5686:140625:1] |
Generators of the group modulo torsion |
j |
16545343830589964801941504/437530517578125 |
j-invariant |
L |
7.5718394010586 |
L(r)(E,1)/r! |
Ω |
0.17174243484058 |
Real period |
R |
0.58784457536232 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56640m2 14160n2 |
Quadratic twists by: -4 8 |