Atkin-Lehner |
2+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
1330c |
Isogeny class |
Conductor |
1330 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
665000 = 23 · 54 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 4 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5675,-163139] |
[a1,a2,a3,a4,a6] |
j |
20214562937713929/665000 |
j-invariant |
L |
1.100105909368 |
L(r)(E,1)/r! |
Ω |
0.55005295468401 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10640l3 42560bp4 11970cf3 6650r3 |
Quadratic twists by: -4 8 -3 5 |