Atkin-Lehner |
2+ 3- 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
111552bk |
Isogeny class |
Conductor |
111552 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
2488320 |
Modular degree for the optimal curve |
Δ |
5.1593798539769E+19 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 2 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1944097,983793215] |
[a1,a2,a3,a4,a6] |
Generators |
[-1405:30720:1] |
Generators of the group modulo torsion |
j |
3099829477625435017/196814722212864 |
j-invariant |
L |
10.405864733612 |
L(r)(E,1)/r! |
Ω |
0.19643973019927 |
Real period |
R |
2.9429056726486 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995641 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111552cl1 3486b1 |
Quadratic twists by: -4 8 |