Atkin-Lehner |
2- 53- |
Signs for the Atkin-Lehner involutions |
Class |
89888m |
Isogeny class |
Conductor |
89888 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
57888 |
Modular degree for the optimal curve |
Δ |
-4039926272 = -1 · 29 · 534 |
Discriminant |
Eigenvalues |
2- 1 4 -2 0 0 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-936,11132] |
[a1,a2,a3,a4,a6] |
Generators |
[10376:15335:512] |
Generators of the group modulo torsion |
j |
-22472 |
j-invariant |
L |
9.7878439323924 |
L(r)(E,1)/r! |
Ω |
1.3771980676564 |
Real period |
R |
7.1070706303087 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999934959 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89888f1 89888c1 |
Quadratic twists by: -4 53 |