Atkin-Lehner |
7+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
43771a |
Isogeny class |
Conductor |
43771 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-7397299 = -1 · 7 · 134 · 37 |
Discriminant |
Eigenvalues |
0 0 -1 7+ -3 13+ 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-10478,-412825] |
[a1,a2,a3,a4,a6] |
Generators |
[1939645:241612158:125] |
Generators of the group modulo torsion |
j |
-4454361759744/259 |
j-invariant |
L |
3.0370977962747 |
L(r)(E,1)/r! |
Ω |
0.23593912201464 |
Real period |
R |
12.872378986308 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43771g1 |
Quadratic twists by: 13 |