Atkin-Lehner |
3- 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
56265o |
Isogeny class |
Conductor |
56265 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-4588625155378275 = -1 · 34 · 52 · 119 · 312 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 11+ 4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-31584,-3912779] |
[a1,a2,a3,a4,a6] |
j |
-1477648619/1946025 |
j-invariant |
L |
5.4627098361398 |
L(r)(E,1)/r! |
Ω |
0.17070968239155 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56265q2 |
Quadratic twists by: -11 |