Atkin-Lehner |
2+ 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680ca |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
2.45939085E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-741747,-59405614] |
[a1,a2,a3,a4,a6] |
Generators |
[-718:10150:1] [-683:11340:1] |
Generators of the group modulo torsion |
j |
30229685362358498/16472900390625 |
j-invariant |
L |
11.554826832594 |
L(r)(E,1)/r! |
Ω |
0.17362246263997 |
Real period |
R |
0.69324428232019 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998907 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42840v3 28560o3 |
Quadratic twists by: -4 -3 |