Atkin-Lehner |
3- 5+ 11+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
40755q |
Isogeny class |
Conductor |
40755 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-44505478875 = -1 · 3 · 53 · 113 · 13 · 193 |
Discriminant |
Eigenvalues |
0 3- 5+ 2 11+ 13- 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-351,-10579] |
[a1,a2,a3,a4,a6] |
j |
-4796028780544/44505478875 |
j-invariant |
L |
1.4454889239478 |
L(r)(E,1)/r! |
Ω |
0.48182964132179 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122265bi2 |
Quadratic twists by: -3 |