Atkin-Lehner |
2+ 3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
41454bc |
Isogeny class |
Conductor |
41454 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-348424180433532 = -1 · 22 · 38 · 710 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -2 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-42786,-3512160] |
[a1,a2,a3,a4,a6] |
j |
-100999381393/4062492 |
j-invariant |
L |
1.3246807992319 |
L(r)(E,1)/r! |
Ω |
0.1655850999248 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13818bc1 5922h1 |
Quadratic twists by: -3 -7 |