Atkin-Lehner |
2- 3+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
5304j |
Isogeny class |
Conductor |
5304 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
40272380928 = 210 · 34 · 134 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 0 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-29432,-1933668] |
[a1,a2,a3,a4,a6] |
j |
2753580869496292/39328497 |
j-invariant |
L |
1.4579873127994 |
L(r)(E,1)/r! |
Ω |
0.36449682819985 |
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 |
10608k3 42432v4 15912j3 68952i4 |
Quadratic twists by: -4 8 -3 13 |