Atkin-Lehner |
2+ 3- 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
84150bs |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2177280 |
Modular degree for the optimal curve |
Δ |
-202439655000000000 = -1 · 29 · 39 · 510 · 112 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11+ 4 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2548242,1566488916] |
[a1,a2,a3,a4,a6] |
Generators |
[823:4709:1] |
Generators of the group modulo torsion |
j |
-257050376715625/28435968 |
j-invariant |
L |
5.8170598814954 |
L(r)(E,1)/r! |
Ω |
0.30460954040354 |
Real period |
R |
4.7741937653166 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001185 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28050dj1 84150gl1 |
Quadratic twists by: -3 5 |