Atkin-Lehner |
2+ 3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
4080i |
Isogeny class |
Conductor |
4080 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
4896000000 = 211 · 32 · 56 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 -4 4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-600,4752] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:100:1] |
Generators of the group modulo torsion |
j |
11683450802/2390625 |
j-invariant |
L |
3.0887373266423 |
L(r)(E,1)/r! |
Ω |
1.2950874408121 |
Real period |
R |
0.19874702596049 |
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 |
2040i2 16320co2 12240j2 20400v2 |
Quadratic twists by: -4 8 -3 5 |