Atkin-Lehner |
2- 3+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
40992p |
Isogeny class |
Conductor |
40992 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
-5902848 = -1 · 29 · 33 · 7 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -3 1 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8,120] |
[a1,a2,a3,a4,a6] |
j |
-125000/11529 |
j-invariant |
L |
1.9701582372468 |
L(r)(E,1)/r! |
Ω |
1.970158237315 |
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 |
40992j1 81984bc1 122976m1 |
Quadratic twists by: -4 8 -3 |