Atkin-Lehner |
2- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
3280j |
Isogeny class |
Conductor |
3280 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
41984000000 = 216 · 56 · 41 |
Discriminant |
Eigenvalues |
2- 2 5- -2 0 -4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2680,-51600] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:30:1] |
Generators of the group modulo torsion |
j |
519912412921/10250000 |
j-invariant |
L |
4.5593438480334 |
L(r)(E,1)/r! |
Ω |
0.66431278409548 |
Real period |
R |
1.1438747823791 |
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 |
410c1 13120bb1 29520bp1 16400o1 |
Quadratic twists by: -4 8 -3 5 |