Atkin-Lehner |
3- 5- 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
8745k |
Isogeny class |
Conductor |
8745 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
83281302225 = 34 · 52 · 114 · 532 |
Discriminant |
Eigenvalues |
-1 3- 5- 4 11+ -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1100,-2193] |
[a1,a2,a3,a4,a6] |
j |
147206315678401/83281302225 |
j-invariant |
L |
1.7878024392351 |
L(r)(E,1)/r! |
Ω |
0.89390121961755 |
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 |
26235e2 43725b2 96195w2 |
Quadratic twists by: -3 5 -11 |