Atkin-Lehner |
2+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
94640g |
Isogeny class |
Conductor |
94640 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
405288569504000000 = 211 · 56 · 78 · 133 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 4 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3197543496,-69593095383280] |
[a1,a2,a3,a4,a6] |
j |
803550333470755251060766154/90075015625 |
j-invariant |
L |
4.015368732542 |
L(r)(E,1)/r! |
Ω |
0.020076843767696 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47320l2 94640bk2 |
Quadratic twists by: -4 13 |