Atkin-Lehner |
2+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
80408a |
Isogeny class |
Conductor |
80408 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
454369543248370688 = 210 · 194 · 237 |
Discriminant |
Eigenvalues |
2+ 0 2 0 4 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-323219,-62854722] |
[a1,a2,a3,a4,a6] |
j |
24634706148/2997383 |
j-invariant |
L |
3.6328327671597 |
L(r)(E,1)/r! |
Ω |
0.20182404093056 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3496d3 |
Quadratic twists by: -23 |