Atkin-Lehner |
3+ 5- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
56265k |
Isogeny class |
Conductor |
56265 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
3505199771469515625 = 32 · 56 · 1110 · 312 |
Discriminant |
Eigenvalues |
1 3+ 5- 4 11- 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-505782,-105351561] |
[a1,a2,a3,a4,a6] |
j |
8077166791974721/1978593890625 |
j-invariant |
L |
4.3733689379914 |
L(r)(E,1)/r! |
Ω |
0.182223705663 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5115f2 |
Quadratic twists by: -11 |