Atkin-Lehner |
2+ 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
39984z |
Isogeny class |
Conductor |
39984 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
Δ |
1.8697254453318E+21 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -6 -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13155144,18242425620] |
[a1,a2,a3,a4,a6] |
Generators |
[-4182:11628:1] [1122:69972:1] |
Generators of the group modulo torsion |
j |
1044942448578893426/7759962920241 |
j-invariant |
L |
9.2091643164303 |
L(r)(E,1)/r! |
Ω |
0.14900612376599 |
Real period |
R |
0.32189547831425 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19992j2 119952z2 5712d2 |
Quadratic twists by: -4 -3 -7 |