Atkin-Lehner |
2- 7- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
72842v |
Isogeny class |
Conductor |
72842 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
64800 |
Modular degree for the optimal curve |
Δ |
-1066479722 = -1 · 2 · 7 · 116 · 43 |
Discriminant |
Eigenvalues |
2- 3 2 7- 11- -2 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-144,1741] |
[a1,a2,a3,a4,a6] |
j |
-185193/602 |
j-invariant |
L |
12.268082492899 |
L(r)(E,1)/r! |
Ω |
1.3631202761741 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
602c1 |
Quadratic twists by: -11 |