Atkin-Lehner |
2- 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
23232du |
Isogeny class |
Conductor |
23232 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
897512910967799808 = 220 · 3 · 1111 |
Discriminant |
Eigenvalues |
2- 3- 4 -2 11- 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-77943521,-264887058273] |
[a1,a2,a3,a4,a6] |
j |
112763292123580561/1932612 |
j-invariant |
L |
5.0810626461708 |
L(r)(E,1)/r! |
Ω |
0.050810626461708 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23232ba3 5808v3 69696hc3 2112bd3 |
Quadratic twists by: -4 8 -3 -11 |