Atkin-Lehner |
2+ 3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
41454x |
Isogeny class |
Conductor |
41454 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
413952 |
Modular degree for the optimal curve |
Δ |
-178393180381968384 = -1 · 211 · 38 · 710 · 47 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 1 -3 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-108495,24565869] |
[a1,a2,a3,a4,a6] |
j |
-685878529/866304 |
j-invariant |
L |
0.57940640515071 |
L(r)(E,1)/r! |
Ω |
0.28970320261876 |
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 |
13818z1 41454c1 |
Quadratic twists by: -3 -7 |