Atkin-Lehner |
2+ 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
11616d |
Isogeny class |
Conductor |
11616 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-3.8268067967315E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2225472,1587797928] |
[a1,a2,a3,a4,a6] |
j |
-1343891598641864/421900912521 |
j-invariant |
L |
2.8799792026272 |
L(r)(E,1)/r! |
Ω |
0.1599988445904 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11616bb4 23232cf3 34848cf2 1056g4 |
Quadratic twists by: -4 8 -3 -11 |