Atkin-Lehner |
2+ 3- 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
111384m |
Isogeny class |
Conductor |
111384 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
14724073728 = 28 · 37 · 7 · 13 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ -4 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-615,-614] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:68:1] [-13:72:1] |
Generators of the group modulo torsion |
j |
137842000/78897 |
j-invariant |
L |
11.194376417296 |
L(r)(E,1)/r! |
Ω |
1.0392792728445 |
Real period |
R |
2.6928220140367 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999988432 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37128bb1 |
Quadratic twists by: -3 |