Atkin-Lehner |
3- 11+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
52767c |
Isogeny class |
Conductor |
52767 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
-47015397 = -1 · 36 · 112 · 13 · 41 |
Discriminant |
Eigenvalues |
1 3- 2 2 11+ 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-81,454] |
[a1,a2,a3,a4,a6] |
j |
-81182737/64493 |
j-invariant |
L |
3.6975661601288 |
L(r)(E,1)/r! |
Ω |
1.8487830801005 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5863a1 |
Quadratic twists by: -3 |