Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
10080cd |
Isogeny class |
Conductor |
10080 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
-326789504879040000 = -1 · 29 · 311 · 54 · 78 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-156747,-36428114] |
[a1,a2,a3,a4,a6] |
Generators |
[825:19894:1] |
Generators of the group modulo torsion |
j |
-1141100604753992/875529151875 |
j-invariant |
L |
4.9035854082421 |
L(r)(E,1)/r! |
Ω |
0.11611697140618 |
Real period |
R |
2.6393565411129 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10080bz4 20160ej4 3360k4 50400ba2 |
Quadratic twists by: -4 8 -3 5 |