Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
10080ce |
Isogeny class |
Conductor |
10080 |
Conductor |
∏ cp |
48 |
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] |
Generators |
[1042:34650:1] |
Generators of the group modulo torsion |
j |
152461584507448/322998046875 |
j-invariant |
L |
4.8512532011539 |
L(r)(E,1)/r! |
Ω |
0.17224774201224 |
Real period |
R |
2.3470327992307 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10080bw4 20160ef4 3360e4 50400bb2 |
Quadratic twists by: -4 8 -3 5 |