Atkin-Lehner |
2- 3+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
83664bi |
Isogeny class |
Conductor |
83664 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-20492994816 = -1 · 28 · 39 · 72 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- -5 6 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,513,-5238] |
[a1,a2,a3,a4,a6] |
j |
2963088/4067 |
j-invariant |
L |
2.584460313136 |
L(r)(E,1)/r! |
Ω |
0.64611507915347 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20916b1 83664bf1 |
Quadratic twists by: -4 -3 |