Atkin-Lehner |
2- 3- 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
111384cc |
Isogeny class |
Conductor |
111384 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
3042524619113616 = 24 · 311 · 75 · 13 · 173 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 0 13+ 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-91803,-10372021] |
[a1,a2,a3,a4,a6] |
Generators |
[-191:441:1] [-170:567:1] |
Generators of the group modulo torsion |
j |
7335788843981056/260847446769 |
j-invariant |
L |
11.532638029247 |
L(r)(E,1)/r! |
Ω |
0.27487389137217 |
Real period |
R |
1.0489026415863 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999988835 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37128d1 |
Quadratic twists by: -3 |