Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
10080n |
Isogeny class |
Conductor |
10080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3571283520000 = 29 · 313 · 54 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-918540003,10715075262502] |
[a1,a2,a3,a4,a6] |
j |
229625675762164624948320008/9568125 |
j-invariant |
L |
0.38953722248243 |
L(r)(E,1)/r! |
Ω |
0.19476861124121 |
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 |
10080t2 20160et3 3360x2 50400dw4 |
Quadratic twists by: -4 8 -3 5 |