Atkin-Lehner |
2+ 5- 29- 43- |
Signs for the Atkin-Lehner involutions |
Class |
99760f |
Isogeny class |
Conductor |
99760 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
1044736 |
Modular degree for the optimal curve |
Δ |
-56504687500000000 = -1 · 28 · 514 · 292 · 43 |
Discriminant |
Eigenvalues |
2+ 0 5- 2 1 -3 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1697252,-851151396] |
[a1,a2,a3,a4,a6] |
j |
-2112140159388950547456/220721435546875 |
j-invariant |
L |
1.8517752749998 |
L(r)(E,1)/r! |
Ω |
0.06613483187757 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49880c1 |
Quadratic twists by: -4 |