Atkin-Lehner |
2- 3- 5- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
66780k |
Isogeny class |
Conductor |
66780 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1792800 |
Modular degree for the optimal curve |
Δ |
-3.4760251949303E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -3 5 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1814592,-1299930284] |
[a1,a2,a3,a4,a6] |
Generators |
[12427846920:2265853004387:373248] |
Generators of the group modulo torsion |
j |
-3540733125883592704/1862582087475515 |
j-invariant |
L |
7.2857677342601 |
L(r)(E,1)/r! |
Ω |
0.063471186269326 |
Real period |
R |
11.478858616798 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7420c1 |
Quadratic twists by: -3 |