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 |
2.7623709945389E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 -6 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2853633,-1837169919] |
[a1,a2,a3,a4,a6] |
Generators |
[110671050147:-17984551360572:4173281] |
Generators of the group modulo torsion |
j |
9803435555023890625/105376090795092 |
j-invariant |
L |
4.3221991485588 |
L(r)(E,1)/r! |
Ω |
0.11623369097515 |
Real period |
R |
18.592712286679 |
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 |
57408dg4 1794i4 |
Quadratic twists by: -4 8 |