Atkin-Lehner |
2- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
32368r |
Isogeny class |
Conductor |
32368 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
822528 |
Modular degree for the optimal curve |
Δ |
3200142677573632 = 216 · 7 · 178 |
Discriminant |
Eigenvalues |
2- -1 -4 7+ 0 -2 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5530400,5007751936] |
[a1,a2,a3,a4,a6] |
Generators |
[1349:-578:1] |
Generators of the group modulo torsion |
j |
654699641761/112 |
j-invariant |
L |
1.9526403792275 |
L(r)(E,1)/r! |
Ω |
0.35237054634504 |
Real period |
R |
0.92357339902601 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4046s1 129472cm1 32368z1 |
Quadratic twists by: -4 8 17 |