Atkin-Lehner |
2- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
1640f |
Isogeny class |
Conductor |
1640 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
164000000 = 28 · 56 · 41 |
Discriminant |
Eigenvalues |
2- -2 5- -2 0 0 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-260,1408] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:50:1] |
Generators of the group modulo torsion |
j |
7622072656/640625 |
j-invariant |
L |
2.1249661680838 |
L(r)(E,1)/r! |
Ω |
1.7720422810412 |
Real period |
R |
0.19986037116782 |
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 |
3280b2 13120d2 14760g2 8200a2 |
Quadratic twists by: -4 8 -3 5 |