Atkin-Lehner |
2- 3- 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
2010k |
Isogeny class |
Conductor |
2010 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
1728 |
Modular degree for the optimal curve |
Δ |
-790364160 = -1 · 218 · 32 · 5 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 2 6 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-505,-4615] |
[a1,a2,a3,a4,a6] |
j |
-14244643829521/790364160 |
j-invariant |
L |
4.5173858887878 |
L(r)(E,1)/r! |
Ω |
0.50193176542086 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16080t1 64320f1 6030g1 10050e1 |
Quadratic twists by: -4 8 -3 5 |