Atkin-Lehner |
2- 3- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
63840cc |
Isogeny class |
Conductor |
63840 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
-45964800000 = -1 · 212 · 33 · 55 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,195,-10197] |
[a1,a2,a3,a4,a6] |
Generators |
[21:60:1] |
Generators of the group modulo torsion |
j |
199176704/11221875 |
j-invariant |
L |
9.2727806369039 |
L(r)(E,1)/r! |
Ω |
0.54254405582306 |
Real period |
R |
0.56970984118778 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000533 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63840l1 127680p1 |
Quadratic twists by: -4 8 |