Atkin-Lehner |
2- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
32368x |
Isogeny class |
Conductor |
32368 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
517888 = 28 · 7 · 172 |
Discriminant |
Eigenvalues |
2- 1 0 7- 6 -4 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-28,-56] |
[a1,a2,a3,a4,a6] |
Generators |
[27:140:1] |
Generators of the group modulo torsion |
j |
34000/7 |
j-invariant |
L |
7.160332291619 |
L(r)(E,1)/r! |
Ω |
2.0992740165524 |
Real period |
R |
3.4108612001869 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8092b1 129472db1 32368p1 |
Quadratic twists by: -4 8 17 |