Atkin-Lehner |
3- 5- 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
43725r |
Isogeny class |
Conductor |
43725 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
54528 |
Modular degree for the optimal curve |
Δ |
-1790152876875 = -1 · 3 · 54 · 112 · 534 |
Discriminant |
Eigenvalues |
0 3- 5- 3 11+ -5 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1083,-66181] |
[a1,a2,a3,a4,a6] |
Generators |
[12179:1344106:1] |
Generators of the group modulo torsion |
j |
-224972800000/2864244603 |
j-invariant |
L |
6.0568271471581 |
L(r)(E,1)/r! |
Ω |
0.35708453115411 |
Real period |
R |
4.2404715261511 |
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 |
43725d1 |
Quadratic twists by: 5 |