Atkin-Lehner |
2+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
32144f |
Isogeny class |
Conductor |
32144 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-405028800512 = -1 · 211 · 76 · 412 |
Discriminant |
Eigenvalues |
2+ 0 2 7- 0 4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1421,-22638] |
[a1,a2,a3,a4,a6] |
Generators |
[4395:33258:125] |
Generators of the group modulo torsion |
j |
1317006/1681 |
j-invariant |
L |
6.7309145020474 |
L(r)(E,1)/r! |
Ω |
0.50616867404782 |
Real period |
R |
6.6488848946542 |
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 |
16072e2 128576co2 656a2 |
Quadratic twists by: -4 8 -7 |