Atkin-Lehner |
2- 3- 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
17688j |
Isogeny class |
Conductor |
17688 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
137541888 = 28 · 36 · 11 · 67 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11+ -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-179092,29112128] |
[a1,a2,a3,a4,a6] |
Generators |
[-478:2394:1] |
Generators of the group modulo torsion |
j |
2481502580330766928/537273 |
j-invariant |
L |
6.8710973520608 |
L(r)(E,1)/r! |
Ω |
1.0770970854692 |
Real period |
R |
4.252849283354 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
35376e1 53064i1 |
Quadratic twists by: -4 -3 |