Atkin-Lehner |
2- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
51772a |
Isogeny class |
Conductor |
51772 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
205884 |
Modular degree for the optimal curve |
Δ |
-1309078431091312 = -1 · 24 · 7 · 438 |
Discriminant |
Eigenvalues |
2- 2 2 7+ -4 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26502,2414657] |
[a1,a2,a3,a4,a6] |
j |
-11008/7 |
j-invariant |
L |
4.0174740694799 |
L(r)(E,1)/r! |
Ω |
0.44638600766068 |
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 |
51772b1 |
Quadratic twists by: -43 |