Atkin-Lehner |
2- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
56350br |
Isogeny class |
Conductor |
56350 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-185626592200 = -1 · 23 · 52 · 79 · 23 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- -6 -1 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,832,-18488] |
[a1,a2,a3,a4,a6] |
Generators |
[134:51:8] [46:-366:1] |
Generators of the group modulo torsion |
j |
21653735/63112 |
j-invariant |
L |
10.161983085186 |
L(r)(E,1)/r! |
Ω |
0.51826472617037 |
Real period |
R |
1.6339756132406 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56350x1 8050o1 |
Quadratic twists by: 5 -7 |