Atkin-Lehner |
2- 3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
38160cd |
Isogeny class |
Conductor |
38160 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
-2.897775E+24 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21481707,-90423500006] |
[a1,a2,a3,a4,a6] |
Generators |
[70782175331:-12110252343750:2352637] |
Generators of the group modulo torsion |
j |
-367149213333770500009/970458984375000000 |
j-invariant |
L |
6.9583575147505 |
L(r)(E,1)/r! |
Ω |
0.032585129518584 |
Real period |
R |
10.677197877611 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4770bh4 12720w4 |
Quadratic twists by: -4 -3 |