Atkin-Lehner |
3- 7+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
43953n |
Isogeny class |
Conductor |
43953 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
124800 |
Modular degree for the optimal curve |
Δ |
-16272703498779 = -1 · 34 · 74 · 13 · 235 |
Discriminant |
Eigenvalues |
-2 3- -1 7+ -1 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-9816,418394] |
[a1,a2,a3,a4,a6] |
Generators |
[108:793:1] |
Generators of the group modulo torsion |
j |
-43569185787904/6777469179 |
j-invariant |
L |
2.6490007844253 |
L(r)(E,1)/r! |
Ω |
0.67167326348154 |
Real period |
R |
0.19719415141612 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43953m1 |
Quadratic twists by: -7 |