Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
2040n |
Isogeny class |
Conductor |
2040 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
1248 |
Modular degree for the optimal curve |
Δ |
-2168279280 = -1 · 24 · 313 · 5 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 5 -2 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-516,4869] |
[a1,a2,a3,a4,a6] |
Generators |
[42:243:1] |
Generators of the group modulo torsion |
j |
-951468070144/135517455 |
j-invariant |
L |
3.232470835135 |
L(r)(E,1)/r! |
Ω |
1.4161048915175 |
Real period |
R |
0.087794203731702 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4080c1 16320o1 6120n1 10200h1 |
Quadratic twists by: -4 8 -3 5 |