Atkin-Lehner |
2- 3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
38160ce |
Isogeny class |
Conductor |
38160 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3180714752471040 = 212 · 39 · 5 · 534 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-112107,14190554] |
[a1,a2,a3,a4,a6] |
Generators |
[27595:55978:125] |
Generators of the group modulo torsion |
j |
52183647114409/1065214935 |
j-invariant |
L |
6.8640992444635 |
L(r)(E,1)/r! |
Ω |
0.44836186683353 |
Real period |
R |
7.6546421007425 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2385h3 12720n3 |
Quadratic twists by: -4 -3 |