Atkin-Lehner |
2- 3- 5- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
76650dl |
Isogeny class |
Conductor |
76650 |
Conductor |
∏ cp |
672 |
Product of Tamagawa factors cp |
deg |
494592 |
Modular degree for the optimal curve |
Δ |
-1490356134288000 = -1 · 27 · 312 · 53 · 74 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 4 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,16492,-1667568] |
[a1,a2,a3,a4,a6] |
Generators |
[112:1204:1] |
Generators of the group modulo torsion |
j |
3968551601644267/11922849074304 |
j-invariant |
L |
13.291856609547 |
L(r)(E,1)/r! |
Ω |
0.24470437347641 |
Real period |
R |
0.080830384187051 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002913 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76650r1 |
Quadratic twists by: 5 |