Atkin-Lehner |
2- 3- 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
61446dc |
Isogeny class |
Conductor |
61446 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
2903040 |
Modular degree for the optimal curve |
Δ |
-3.0811320975562E+20 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 11- -4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-9367380,-11068125552] |
[a1,a2,a3,a4,a6] |
Generators |
[6864:-501468:1] |
Generators of the group modulo torsion |
j |
-2252660634800034103/7635332567808 |
j-invariant |
L |
12.785071618767 |
L(r)(E,1)/r! |
Ω |
0.043139677221924 |
Real period |
R |
1.2348523488304 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999223 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61446ch1 |
Quadratic twists by: -7 |