Atkin-Lehner |
2+ 3- 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
6942g |
Isogeny class |
Conductor |
6942 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
3200 |
Modular degree for the optimal curve |
Δ |
-287898624 = -1 · 210 · 35 · 13 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 3 -3 1 13+ 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,88,758] |
[a1,a2,a3,a4,a6] |
Generators |
[9:43:1] |
Generators of the group modulo torsion |
j |
76603177223/287898624 |
j-invariant |
L |
4.0787768914933 |
L(r)(E,1)/r! |
Ω |
1.2323768392748 |
Real period |
R |
0.33096831760433 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55536x1 20826bd1 90246y1 |
Quadratic twists by: -4 -3 13 |