Atkin-Lehner |
3- 5+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
87975t |
Isogeny class |
Conductor |
87975 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
66806015625 = 37 · 57 · 17 · 23 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 0 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-27567,-1754784] |
[a1,a2,a3,a4,a6] |
Generators |
[-133775376:66936099:1404928] |
Generators of the group modulo torsion |
j |
203401212841/5865 |
j-invariant |
L |
8.1846656378106 |
L(r)(E,1)/r! |
Ω |
0.37051192553431 |
Real period |
R |
11.045077188449 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005224 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29325q1 17595m1 |
Quadratic twists by: -3 5 |