Atkin-Lehner |
2+ 3+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
62016d |
Isogeny class |
Conductor |
62016 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-146314100736 = -1 · 224 · 33 · 17 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -1 -6 4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,383,18049] |
[a1,a2,a3,a4,a6] |
Generators |
[33:256:1] |
Generators of the group modulo torsion |
j |
23639903/558144 |
j-invariant |
L |
2.8805759155821 |
L(r)(E,1)/r! |
Ω |
0.77266406649831 |
Real period |
R |
0.93202726794549 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994091 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62016co1 1938i1 |
Quadratic twists by: -4 8 |