Atkin-Lehner |
2+ 3+ 13- 79- |
Signs for the Atkin-Lehner involutions |
Class |
80106j |
Isogeny class |
Conductor |
80106 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
269568 |
Modular degree for the optimal curve |
Δ |
-10053065405604 = -1 · 22 · 3 · 139 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ -1 4 2 13- 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-12678,-575544] |
[a1,a2,a3,a4,a6] |
Generators |
[59500:510712:343] |
Generators of the group modulo torsion |
j |
-21253933/948 |
j-invariant |
L |
4.6454418643197 |
L(r)(E,1)/r! |
Ω |
0.22437353870539 |
Real period |
R |
5.1760135050048 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999963414 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80106bg1 |
Quadratic twists by: 13 |