Atkin-Lehner |
2- 3+ 13+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
47268a |
Isogeny class |
Conductor |
47268 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
29952 |
Modular degree for the optimal curve |
Δ |
-6616007424 = -1 · 28 · 39 · 13 · 101 |
Discriminant |
Eigenvalues |
2- 3+ -1 1 -6 13+ 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,432,-1836] |
[a1,a2,a3,a4,a6] |
j |
1769472/1313 |
j-invariant |
L |
1.4945678496223 |
L(r)(E,1)/r! |
Ω |
0.74728392476313 |
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 |
47268b1 |
Quadratic twists by: -3 |