Atkin-Lehner |
2+ 3- 17- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
126582w |
Isogeny class |
Conductor |
126582 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
3838464 |
Modular degree for the optimal curve |
Δ |
-2.081257613787E+19 |
Discriminant |
Eigenvalues |
2+ 3- -2 3 -4 -1 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-569192,-274814026] |
[a1,a2,a3,a4,a6] |
Generators |
[1737:62203:1] |
Generators of the group modulo torsion |
j |
-2923530349177/2983557888 |
j-invariant |
L |
5.3595966601486 |
L(r)(E,1)/r! |
Ω |
0.083489276400788 |
Real period |
R |
2.2926796666981 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002218 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126582h1 |
Quadratic twists by: 17 |