Atkin-Lehner |
2- 3- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
84150fx |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
152 |
Product of Tamagawa factors cp |
deg |
715008 |
Modular degree for the optimal curve |
Δ |
-42985356145459200 = -1 · 219 · 313 · 52 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11- 0 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,22405,-9896853] |
[a1,a2,a3,a4,a6] |
Generators |
[395:-7974:1] |
Generators of the group modulo torsion |
j |
68251027208495/2358592929792 |
j-invariant |
L |
11.493942796087 |
L(r)(E,1)/r! |
Ω |
0.17378173260527 |
Real period |
R |
0.43513229827257 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000632 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28050b1 84150dk1 |
Quadratic twists by: -3 5 |