Atkin-Lehner |
2+ 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
23232v |
Isogeny class |
Conductor |
23232 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2.4491563499081E+22 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -4 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8901889,-12693481535] |
[a1,a2,a3,a4,a6] |
j |
-1343891598641864/421900912521 |
j-invariant |
L |
0.1720453734571 |
L(r)(E,1)/r! |
Ω |
0.043011343364294 |
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 |
23232cf3 11616bb4 69696cn3 2112h4 |
Quadratic twists by: -4 8 -3 -11 |