Atkin-Lehner |
2- 3+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
32736h |
Isogeny class |
Conductor |
32736 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1244491776 = 212 · 34 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 11+ 0 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13377,599985] |
[a1,a2,a3,a4,a6] |
j |
64635693179968/303831 |
j-invariant |
L |
2.7096014526546 |
L(r)(E,1)/r! |
Ω |
1.3548007263273 |
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 |
32736f2 65472ba1 98208l2 |
Quadratic twists by: -4 8 -3 |