Atkin-Lehner |
2- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
11024g |
Isogeny class |
Conductor |
11024 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
31680 |
Modular degree for the optimal curve |
Δ |
-211059164053504 = -1 · 223 · 132 · 533 |
Discriminant |
Eigenvalues |
2- 0 -1 2 -1 13+ 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-124043,-16829894] |
[a1,a2,a3,a4,a6] |
Generators |
[1503:56498:1] |
Generators of the group modulo torsion |
j |
-51532421181502689/51528116224 |
j-invariant |
L |
4.3035395123458 |
L(r)(E,1)/r! |
Ω |
0.12718926414234 |
Real period |
R |
2.8196427985789 |
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 |
1378c1 44096p1 99216bb1 |
Quadratic twists by: -4 8 -3 |