Atkin-Lehner |
2+ 3+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
57408a |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
61316022782656512 = 224 · 312 · 13 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 -6 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-261633,50200065] |
[a1,a2,a3,a4,a6] |
Generators |
[6816:11339:27] |
Generators of the group modulo torsion |
j |
7555496578890625/233902064448 |
j-invariant |
L |
4.3221991485588 |
L(r)(E,1)/r! |
Ω |
0.34870107292545 |
Real period |
R |
6.1975707622265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998132 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57408dg2 1794i2 |
Quadratic twists by: -4 8 |