Atkin-Lehner |
2+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
15680bg |
Isogeny class |
Conductor |
15680 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-12089663946752000 = -1 · 224 · 53 · 78 |
Discriminant |
Eigenvalues |
2+ -1 5- 7+ 6 4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-101985,-13572383] |
[a1,a2,a3,a4,a6] |
j |
-77626969/8000 |
j-invariant |
L |
2.3904627911885 |
L(r)(E,1)/r! |
Ω |
0.13280348839936 |
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 |
15680db2 490a2 78400d2 15680m2 |
Quadratic twists by: -4 8 5 -7 |