Atkin-Lehner |
2+ 3+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
32736a |
Isogeny class |
Conductor |
32736 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
18266688 = 26 · 33 · 11 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 11- -2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-78,-144] |
[a1,a2,a3,a4,a6] |
j |
830584000/285417 |
j-invariant |
L |
1.6496679246738 |
L(r)(E,1)/r! |
Ω |
1.6496679246803 |
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 |
32736d1 65472cc1 98208t1 |
Quadratic twists by: -4 8 -3 |