Atkin-Lehner |
2- 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
71400dq |
Isogeny class |
Conductor |
71400 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
11566800000000 = 210 · 35 · 58 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-385560008,-2914105288512] |
[a1,a2,a3,a4,a6] |
j |
396168254899399897286404/722925 |
j-invariant |
L |
2.7256277735708 |
L(r)(E,1)/r! |
Ω |
0.034070347206692 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14280k3 |
Quadratic twists by: 5 |