Atkin-Lehner |
3+ 5+ 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
43725d |
Isogeny class |
Conductor |
43725 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
272640 |
Modular degree for the optimal curve |
Δ |
-27971138701171875 = -1 · 3 · 510 · 112 · 534 |
Discriminant |
Eigenvalues |
0 3+ 5+ -3 11+ 5 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-27083,-8218432] |
[a1,a2,a3,a4,a6] |
j |
-224972800000/2864244603 |
j-invariant |
L |
1.2775444565814 |
L(r)(E,1)/r! |
Ω |
0.15969305707485 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43725r1 |
Quadratic twists by: 5 |