Atkin-Lehner |
2+ 3- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
32736c |
Isogeny class |
Conductor |
32736 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-50609009905344 = -1 · 26 · 34 · 11 · 316 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 11+ 4 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8742,-467820] |
[a1,a2,a3,a4,a6] |
j |
-1154584765381312/790765779771 |
j-invariant |
L |
3.8332687707958 |
L(r)(E,1)/r! |
Ω |
0.23957929817473 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32736k1 65472i2 98208y1 |
Quadratic twists by: -4 8 -3 |