Atkin-Lehner |
3- 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
56925k |
Isogeny class |
Conductor |
56925 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1476432594140625 = 310 · 58 · 112 · 232 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 11+ -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-54567,4558216] |
[a1,a2,a3,a4,a6] |
j |
1577505447721/129618225 |
j-invariant |
L |
1.8674798349802 |
L(r)(E,1)/r! |
Ω |
0.4668699590882 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
18975f2 11385f2 |
Quadratic twists by: -3 5 |