Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
20160by |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-26336378880 = -1 · 214 · 38 · 5 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 2 -4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,708,-2896] |
[a1,a2,a3,a4,a6] |
Generators |
[10:72:1] |
Generators of the group modulo torsion |
j |
3286064/2205 |
j-invariant |
L |
5.1846173502242 |
L(r)(E,1)/r! |
Ω |
0.67558584038671 |
Real period |
R |
0.95928175227453 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20160fd2 1260e2 6720b2 100800fb2 |
Quadratic twists by: -4 8 -3 5 |