Atkin-Lehner |
2+ 3- 5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
84150dh |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
71680 |
Modular degree for the optimal curve |
Δ |
-66252978000 = -1 · 24 · 311 · 53 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 11+ -3 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,513,11421] |
[a1,a2,a3,a4,a6] |
Generators |
[18:-171:1] [-6:93:1] |
Generators of the group modulo torsion |
j |
163667323/727056 |
j-invariant |
L |
7.4793995539207 |
L(r)(E,1)/r! |
Ω |
0.78836274433675 |
Real period |
R |
0.59295352992852 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000031 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28050dr1 84150gn1 |
Quadratic twists by: -3 5 |