Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
2640r |
Isogeny class |
Conductor |
2640 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
4379443200 = 216 · 35 · 52 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22296,1274004] |
[a1,a2,a3,a4,a6] |
Generators |
[54:480:1] |
Generators of the group modulo torsion |
j |
299270638153369/1069200 |
j-invariant |
L |
3.6096736150973 |
L(r)(E,1)/r! |
Ω |
1.2094274072954 |
Real period |
R |
0.29846137050668 |
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 |
330a1 10560bx1 7920bj1 13200bg1 |
Quadratic twists by: -4 8 -3 5 |