Atkin-Lehner |
2+ 3- 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150cx |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
-245686763520000 = -1 · 218 · 36 · 54 · 112 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 11+ -1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1233,-754259] |
[a1,a2,a3,a4,a6] |
Generators |
[318:5473:1] |
Generators of the group modulo torsion |
j |
454786175/539230208 |
j-invariant |
L |
5.0114941902088 |
L(r)(E,1)/r! |
Ω |
0.25844419930968 |
Real period |
R |
1.6159175444353 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982923 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9350bl1 84150fb1 |
Quadratic twists by: -3 5 |