Atkin-Lehner |
2- 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
10080bw |
Isogeny class |
Conductor |
10080 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-120558375000000000 = -1 · 29 · 39 · 512 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,80133,14242174] |
[a1,a2,a3,a4,a6] |
j |
152461584507448/322998046875 |
j-invariant |
L |
2.7542378939522 |
L(r)(E,1)/r! |
Ω |
0.22951982449601 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10080ce4 20160dx4 3360i4 50400bn2 |
Quadratic twists by: -4 8 -3 5 |