Atkin-Lehner |
2+ 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
85680cg |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
566643651840 = 28 · 312 · 5 · 72 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 2 4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4647,-116426] |
[a1,a2,a3,a4,a6] |
Generators |
[290:4788:1] |
Generators of the group modulo torsion |
j |
59466754384/3036285 |
j-invariant |
L |
8.6420586315532 |
L(r)(E,1)/r! |
Ω |
0.58007222522323 |
Real period |
R |
3.7245614660454 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001382 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42840cd2 28560bl2 |
Quadratic twists by: -4 -3 |