Atkin-Lehner |
2- 3+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
111552cl |
Isogeny class |
Conductor |
111552 |
Conductor |
∏ cp |
24 |
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 |
[-3760485:-36513820:4913] |
Generators of the group modulo torsion |
j |
3099829477625435017/196814722212864 |
j-invariant |
L |
7.0366026321074 |
L(r)(E,1)/r! |
Ω |
0.12836461816239 |
Real period |
R |
9.1362177064 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000068392 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111552bk1 27888bl1 |
Quadratic twists by: -4 8 |