Atkin-Lehner |
2+ 31- 83- |
Signs for the Atkin-Lehner involutions |
Class |
20584a |
Isogeny class |
Conductor |
20584 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3936 |
Modular degree for the optimal curve |
Δ |
-3416944 = -1 · 24 · 31 · 832 |
Discriminant |
Eigenvalues |
2+ 2 3 -3 0 -2 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-84,-283] |
[a1,a2,a3,a4,a6] |
Generators |
[14:33:1] |
Generators of the group modulo torsion |
j |
-4145734912/213559 |
j-invariant |
L |
8.1639474284611 |
L(r)(E,1)/r! |
Ω |
0.7853607208848 |
Real period |
R |
2.598789069583 |
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 |
41168a1 |
Quadratic twists by: -4 |