Atkin-Lehner |
2- 3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
53550ds |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
896 |
Product of Tamagawa factors cp |
deg |
3440640 |
Modular degree for the optimal curve |
Δ |
-3.0946298639155E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3515395,-853788603] |
[a1,a2,a3,a4,a6] |
j |
421792317902132351/271682182840320 |
j-invariant |
L |
4.5554269918097 |
L(r)(E,1)/r! |
Ω |
0.081346910611484 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17850a1 10710k1 |
Quadratic twists by: -3 5 |