Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40898bq |
Isogeny class |
Conductor |
40898 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-5234944 = -1 · 28 · 112 · 132 |
Discriminant |
Eigenvalues |
2- 2 2 0 11- 13+ -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,3,-109] |
[a1,a2,a3,a4,a6] |
Generators |
[15:52:1] |
Generators of the group modulo torsion |
j |
143/256 |
j-invariant |
L |
14.596045280728 |
L(r)(E,1)/r! |
Ω |
1.1241310929158 |
Real period |
R |
1.6230363803552 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40898n1 40898o1 |
Quadratic twists by: -11 13 |