Atkin-Lehner |
7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
329a |
Isogeny class |
Conductor |
329 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
180 |
Modular degree for the optimal curve |
Δ |
-1896619529 = -1 · 79 · 47 |
Discriminant |
Eigenvalues |
-1 -1 3 7+ 3 -6 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,246,-1376] |
[a1,a2,a3,a4,a6] |
j |
1645957774943/1896619529 |
j-invariant |
L |
0.79689202644526 |
L(r)(E,1)/r! |
Ω |
0.79689202644526 |
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 |
5264j1 21056g1 2961e1 8225b1 |
Quadratic twists by: -4 8 -3 5 |