Atkin-Lehner |
2- 3- 5+ 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
122010co |
Isogeny class |
Conductor |
122010 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
1572480 |
Modular degree for the optimal curve |
Δ |
-58861824880556250 = -1 · 2 · 39 · 55 · 78 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 2 4 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,57574,-10386594] |
[a1,a2,a3,a4,a6] |
Generators |
[25094:1396811:8] |
Generators of the group modulo torsion |
j |
3661155128351/10210556250 |
j-invariant |
L |
13.827659925022 |
L(r)(E,1)/r! |
Ω |
0.18067232589765 |
Real period |
R |
8.5038295208866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998439 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122010cj1 |
Quadratic twists by: -7 |