Atkin-Lehner |
2+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
89888c |
Isogeny class |
Conductor |
89888 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3068064 |
Modular degree for the optimal curve |
Δ |
-8.9542384827143E+19 |
Discriminant |
Eigenvalues |
2+ -1 -4 -2 0 0 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2630160,1704636136] |
[a1,a2,a3,a4,a6] |
Generators |
[447240:4371697:512] |
Generators of the group modulo torsion |
j |
-22472 |
j-invariant |
L |
2.0784773747128 |
L(r)(E,1)/r! |
Ω |
0.18917270324233 |
Real period |
R |
10.98719494358 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029759 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89888g1 89888m1 |
Quadratic twists by: -4 53 |