Atkin-Lehner |
2- 3- 5+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
49770bm |
Isogeny class |
Conductor |
49770 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-1.30448683008E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,270007,-165234743] |
[a1,a2,a3,a4,a6] |
j |
2986226617770779319/17894195200000000 |
j-invariant |
L |
4.4869867430218 |
L(r)(E,1)/r! |
Ω |
0.1121746685674 |
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 |
5530e1 |
Quadratic twists by: -3 |