Atkin-Lehner |
5- 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
38675x |
Isogeny class |
Conductor |
38675 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
65280 |
Modular degree for the optimal curve |
Δ |
359556640625 = 59 · 72 · 13 · 172 |
Discriminant |
Eigenvalues |
1 2 5- 7- -2 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10075,384000] |
[a1,a2,a3,a4,a6] |
Generators |
[-84:846:1] |
Generators of the group modulo torsion |
j |
57915683909/184093 |
j-invariant |
L |
9.6382121333584 |
L(r)(E,1)/r! |
Ω |
0.96007658940581 |
Real period |
R |
5.0195016937779 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38675u1 |
Quadratic twists by: 5 |