Atkin-Lehner |
2- 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
111720bm |
Isogeny class |
Conductor |
111720 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
2419200 |
Modular degree for the optimal curve |
Δ |
-3.4212860408765E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,684024,-178047360] |
[a1,a2,a3,a4,a6] |
j |
293798043977756/283988784375 |
j-invariant |
L |
1.579971059871 |
L(r)(E,1)/r! |
Ω |
0.11285506094852 |
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 |
2280f1 |
Quadratic twists by: -7 |