Atkin-Lehner |
2+ 3+ 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
6942a |
Isogeny class |
Conductor |
6942 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1728 |
Modular degree for the optimal curve |
Δ |
-21117564 = -1 · 22 · 33 · 133 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ -1 3 -3 13- -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-58,256] |
[a1,a2,a3,a4,a6] |
Generators |
[6:-16:1] |
Generators of the group modulo torsion |
j |
-22164361129/21117564 |
j-invariant |
L |
2.5362408587197 |
L(r)(E,1)/r! |
Ω |
1.9643703772558 |
Real period |
R |
0.21518691926984 |
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 |
55536bj1 20826bf1 90246o1 |
Quadratic twists by: -4 -3 13 |