Atkin-Lehner |
2- 3- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
41328cd |
Isogeny class |
Conductor |
41328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-160683264 = -1 · 28 · 37 · 7 · 41 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 2 -3 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-111,-758] |
[a1,a2,a3,a4,a6] |
j |
-810448/861 |
j-invariant |
L |
2.822782381943 |
L(r)(E,1)/r! |
Ω |
0.70569559550053 |
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 |
10332f1 13776bc1 |
Quadratic twists by: -4 -3 |