Atkin-Lehner |
2+ 23+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
86848a |
Isogeny class |
Conductor |
86848 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8704 |
Modular degree for the optimal curve |
Δ |
1997504 = 26 · 232 · 59 |
Discriminant |
Eigenvalues |
2+ 0 -2 -2 0 -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-71,-220] |
[a1,a2,a3,a4,a6] |
Generators |
[32:174:1] |
Generators of the group modulo torsion |
j |
618470208/31211 |
j-invariant |
L |
2.9747918187707 |
L(r)(E,1)/r! |
Ω |
1.6498486656586 |
Real period |
R |
3.606139015672 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999905133 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86848k1 43424b2 |
Quadratic twists by: -4 8 |