Atkin-Lehner |
2- 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
11616bf |
Isogeny class |
Conductor |
11616 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-987765723648 = -1 · 29 · 32 · 118 |
Discriminant |
Eigenvalues |
2- 3- -4 2 11- -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40,47804] |
[a1,a2,a3,a4,a6] |
j |
-8/1089 |
j-invariant |
L |
1.400830416128 |
L(r)(E,1)/r! |
Ω |
0.70041520806402 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11616h2 23232bb2 34848bf2 1056e2 |
Quadratic twists by: -4 8 -3 -11 |