Atkin-Lehner |
2- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
10640k |
Isogeny class |
Conductor |
10640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-196661248000 = -1 · 215 · 53 · 7 · 193 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 3 5 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,504,20720] |
[a1,a2,a3,a4,a6] |
j |
3449795831/48013000 |
j-invariant |
L |
2.9807654422676 |
L(r)(E,1)/r! |
Ω |
0.74519136056691 |
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 |
1330e2 42560dc2 95760en2 53200cl2 |
Quadratic twists by: -4 8 -3 5 |