Atkin-Lehner |
2+ 3- 5- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
83490y |
Isogeny class |
Conductor |
83490 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
212889600 |
Modular degree for the optimal curve |
Δ |
2.4551675248633E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 11+ 4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-180452870843,-29504891943978442] |
[a1,a2,a3,a4,a6] |
j |
275601091196478935659903044731/104123070000 |
j-invariant |
L |
2.1096047190363 |
L(r)(E,1)/r! |
Ω |
0.0073250164739891 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83490cl1 |
Quadratic twists by: -11 |