Atkin-Lehner |
2+ 3- 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
6942f |
Isogeny class |
Conductor |
6942 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-222144 = -1 · 26 · 3 · 13 · 89 |
Discriminant |
Eigenvalues |
2+ 3- -1 1 1 13+ -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-159,-782] |
[a1,a2,a3,a4,a6] |
Generators |
[31:140:1] |
Generators of the group modulo torsion |
j |
-440537367529/222144 |
j-invariant |
L |
3.5077200179775 |
L(r)(E,1)/r! |
Ω |
0.67272077030684 |
Real period |
R |
2.6071144022932 |
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 |
55536s1 20826z1 90246u1 |
Quadratic twists by: -4 -3 13 |