Atkin-Lehner |
2- 3+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
54684b |
Isogeny class |
Conductor |
54684 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
23616 |
Modular degree for the optimal curve |
Δ |
514467072 = 28 · 33 · 74 · 31 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 3 -2 -5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1176,-15484] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:6:1] [-19:1:1] |
Generators of the group modulo torsion |
j |
10838016/31 |
j-invariant |
L |
8.9637772522774 |
L(r)(E,1)/r! |
Ω |
0.81540316410579 |
Real period |
R |
1.832176941598 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999928 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54684a1 54684c1 |
Quadratic twists by: -3 -7 |