Atkin-Lehner |
2+ 3+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
32736a |
Isogeny class |
Conductor |
32736 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1400053248 = -1 · 29 · 36 · 112 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 11- -2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,232,-1260] |
[a1,a2,a3,a4,a6] |
j |
2685619000/2734479 |
j-invariant |
L |
1.6496679246738 |
L(r)(E,1)/r! |
Ω |
0.82483396234015 |
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 |
32736d2 65472cc2 98208t2 |
Quadratic twists by: -4 8 -3 |