Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
10080bb |
Isogeny class |
Conductor |
10080 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
27221116608000 = 29 · 311 · 53 · 74 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2916147,1916735686] |
[a1,a2,a3,a4,a6] |
j |
7347751505995469192/72930375 |
j-invariant |
L |
2.7951498491244 |
L(r)(E,1)/r! |
Ω |
0.4658583081874 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10080by2 20160bt4 3360u2 50400dd4 |
Quadratic twists by: -4 8 -3 5 |