Atkin-Lehner |
2- 3+ 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
19698j |
Isogeny class |
Conductor |
19698 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-24027321620736 = -1 · 28 · 35 · 78 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ 0 0 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,3380,-221971] |
[a1,a2,a3,a4,a6] |
Generators |
[69:553:1] |
Generators of the group modulo torsion |
j |
740766719/4167936 |
j-invariant |
L |
7.0616483242157 |
L(r)(E,1)/r! |
Ω |
0.33776076344422 |
Real period |
R |
0.87113536765472 |
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 |
59094o1 19698r1 |
Quadratic twists by: -3 -7 |