Atkin-Lehner |
2+ 5- 29- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
99760d |
Isogeny class |
Conductor |
99760 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
11904 |
Modular degree for the optimal curve |
Δ |
-2494000 = -1 · 24 · 53 · 29 · 43 |
Discriminant |
Eigenvalues |
2+ 0 5- -1 0 2 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-242,1451] |
[a1,a2,a3,a4,a6] |
Generators |
[7:10:1] |
Generators of the group modulo torsion |
j |
-97960237056/155875 |
j-invariant |
L |
6.0710699687967 |
L(r)(E,1)/r! |
Ω |
2.5720373295958 |
Real period |
R |
0.78680428163801 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030341 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49880g1 |
Quadratic twists by: -4 |