Atkin-Lehner |
2- 5- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
92510y |
Isogeny class |
Conductor |
92510 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
69888 |
Modular degree for the optimal curve |
Δ |
-10731160000 = -1 · 26 · 54 · 11 · 293 |
Discriminant |
Eigenvalues |
2- 0 5- 0 11- -4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1927,-32449] |
[a1,a2,a3,a4,a6] |
Generators |
[71:394:1] |
Generators of the group modulo torsion |
j |
-32431240269/440000 |
j-invariant |
L |
10.518148705034 |
L(r)(E,1)/r! |
Ω |
0.36001136242048 |
Real period |
R |
2.434679798073 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010545 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92510g1 |
Quadratic twists by: 29 |