Atkin-Lehner |
2+ 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
23232x |
Isogeny class |
Conductor |
23232 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-2158903296 = -1 · 214 · 32 · 114 |
Discriminant |
Eigenvalues |
2+ 3+ -3 2 11- -5 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-176337,-28442511] |
[a1,a2,a3,a4,a6] |
j |
-2527934627152/9 |
j-invariant |
L |
1.3978634121315 |
L(r)(E,1)/r! |
Ω |
0.11648861767763 |
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 |
23232dt2 1452e2 69696da2 23232z2 |
Quadratic twists by: -4 8 -3 -11 |