Atkin-Lehner |
2- 3+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
2256j |
Isogeny class |
Conductor |
2256 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
577536 = 212 · 3 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 -4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12032,-504000] |
[a1,a2,a3,a4,a6] |
Generators |
[1162:39410:1] |
Generators of the group modulo torsion |
j |
47034153084673/141 |
j-invariant |
L |
2.9253722348811 |
L(r)(E,1)/r! |
Ω |
0.45583964226971 |
Real period |
R |
6.4175467941208 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
141c4 9024bu3 6768p4 56400ck4 |
Quadratic twists by: -4 8 -3 5 |