Atkin-Lehner |
2- 3+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
54684a |
Isogeny class |
Conductor |
54684 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
70848 |
Modular degree for the optimal curve |
Δ |
375046495488 = 28 · 39 · 74 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ -3 -2 5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10584,418068] |
[a1,a2,a3,a4,a6] |
j |
10838016/31 |
j-invariant |
L |
1.9124759915914 |
L(r)(E,1)/r! |
Ω |
0.95623799623651 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54684b1 54684f1 |
Quadratic twists by: -3 -7 |