Atkin-Lehner |
2- 3- 7+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
93786cl |
Isogeny class |
Conductor |
93786 |
Conductor |
∏ cp |
390 |
Product of Tamagawa factors cp |
deg |
549120 |
Modular degree for the optimal curve |
Δ |
-1133201473832736 = -1 · 25 · 313 · 74 · 11 · 292 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 11- -2 -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,3233,-1617799] |
[a1,a2,a3,a4,a6] |
Generators |
[242:-3775:1] |
Generators of the group modulo torsion |
j |
1556468264687/471970626336 |
j-invariant |
L |
9.3888695559675 |
L(r)(E,1)/r! |
Ω |
0.22950188807595 |
Real period |
R |
0.10489684710743 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015831 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93786ch1 |
Quadratic twists by: -7 |