Atkin-Lehner |
2- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
16184c |
Isogeny class |
Conductor |
16184 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
51408 |
Modular degree for the optimal curve |
Δ |
-38282956836208 = -1 · 24 · 73 · 178 |
Discriminant |
Eigenvalues |
2- -2 -2 7+ 0 -4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-67144,-6725715] |
[a1,a2,a3,a4,a6] |
Generators |
[842:23117:1] |
Generators of the group modulo torsion |
j |
-299944192/343 |
j-invariant |
L |
1.9434136073825 |
L(r)(E,1)/r! |
Ω |
0.14828166054947 |
Real period |
R |
6.5531152004268 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32368f1 129472u1 113288bd1 16184e1 |
Quadratic twists by: -4 8 -7 17 |