Atkin-Lehner |
2- 3- 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
123708h |
Isogeny class |
Conductor |
123708 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
3434293910736 = 24 · 36 · 136 · 61 |
Discriminant |
Eigenvalues |
2- 3- 2 2 0 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4957,98840] |
[a1,a2,a3,a4,a6] |
Generators |
[20:90:1] |
Generators of the group modulo torsion |
j |
174456832/44469 |
j-invariant |
L |
11.718101084928 |
L(r)(E,1)/r! |
Ω |
0.74206111871327 |
Real period |
R |
2.6318813646741 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000090616 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
732c1 |
Quadratic twists by: 13 |