Atkin-Lehner |
2- 3- 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
53280cb |
Isogeny class |
Conductor |
53280 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1864373760000 = 212 · 39 · 54 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48252,-4079104] |
[a1,a2,a3,a4,a6] |
Generators |
[682:16740:1] |
Generators of the group modulo torsion |
j |
4160851280704/624375 |
j-invariant |
L |
8.1868172598802 |
L(r)(E,1)/r! |
Ω |
0.32212515123842 |
Real period |
R |
3.1768775382693 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53280cc4 106560el1 17760d3 |
Quadratic twists by: -4 8 -3 |