Atkin-Lehner |
2- 3+ 7- 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
96642bj |
Isogeny class |
Conductor |
96642 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
130560 |
Modular degree for the optimal curve |
Δ |
-14129253684 = -1 · 22 · 33 · 72 · 13 · 593 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 5 13+ -8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,229,5503] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:20:1] |
Generators of the group modulo torsion |
j |
49390467309/523305692 |
j-invariant |
L |
14.800265359009 |
L(r)(E,1)/r! |
Ω |
0.9216637373867 |
Real period |
R |
2.0072756388981 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001386 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96642i1 |
Quadratic twists by: -3 |