Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
11040f |
Isogeny class |
Conductor |
11040 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
156456230400 = 29 · 312 · 52 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6376,-197176] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:30:1] |
Generators of the group modulo torsion |
j |
55997261469512/305578575 |
j-invariant |
L |
5.0031425109838 |
L(r)(E,1)/r! |
Ω |
0.53444066133333 |
Real period |
R |
0.78012129829684 |
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 |
11040i3 22080s3 33120bg3 55200bl3 |
Quadratic twists by: -4 8 -3 5 |