Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
10080bn |
Isogeny class |
Conductor |
10080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5740875000000000 = 29 · 38 · 512 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-52923,2944622] |
[a1,a2,a3,a4,a6] |
Generators |
[322:4392:1] |
Generators of the group modulo torsion |
j |
43919722445768/15380859375 |
j-invariant |
L |
3.7971530989103 |
L(r)(E,1)/r! |
Ω |
0.39193289147531 |
Real period |
R |
4.8441368171693 |
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 |
10080r3 20160ca3 3360f3 50400br3 |
Quadratic twists by: -4 8 -3 5 |