Atkin-Lehner |
2- 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
30960cc |
Isogeny class |
Conductor |
30960 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
2683247026176000000 = 219 · 311 · 56 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 -4 4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23871747,-44892495614] |
[a1,a2,a3,a4,a6] |
Generators |
[-966889:-66240:343] |
Generators of the group modulo torsion |
j |
503835593418244309249/898614000000 |
j-invariant |
L |
6.9603841992025 |
L(r)(E,1)/r! |
Ω |
0.068301234036821 |
Real period |
R |
4.2461313091906 |
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 |
3870i2 123840ew2 10320bd2 |
Quadratic twists by: -4 8 -3 |