Atkin-Lehner |
2- 3+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
87984t |
Isogeny class |
Conductor |
87984 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
51200 |
Modular degree for the optimal curve |
Δ |
67571712 = 212 · 33 · 13 · 47 |
Discriminant |
Eigenvalues |
2- 3+ -4 -2 0 13- 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-627,-6030] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:2:1] |
Generators of the group modulo torsion |
j |
246491883/611 |
j-invariant |
L |
3.6719775291334 |
L(r)(E,1)/r! |
Ω |
0.9542174676556 |
Real period |
R |
1.924077924717 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982093 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5499d1 87984z1 |
Quadratic twists by: -4 -3 |