Atkin-Lehner |
2- 3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
39984cl |
Isogeny class |
Conductor |
39984 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.6987491773354E+20 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 6 0 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-43256824,109516643440] |
[a1,a2,a3,a4,a6] |
j |
18575453384550358633/352517816448 |
j-invariant |
L |
1.3326866887581 |
L(r)(E,1)/r! |
Ω |
0.16658583609668 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4998w2 119952fd2 5712w2 |
Quadratic twists by: -4 -3 -7 |