Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39984bt |
Isogeny class |
Conductor |
39984 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
491331498835968 = 215 · 32 · 78 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 2 -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-299112,63055728] |
[a1,a2,a3,a4,a6] |
Generators |
[306:294:1] |
Generators of the group modulo torsion |
j |
6141556990297/1019592 |
j-invariant |
L |
5.5367557881614 |
L(r)(E,1)/r! |
Ω |
0.50722179033763 |
Real period |
R |
1.3644809562685 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4998q2 119952gq2 5712s2 |
Quadratic twists by: -4 -3 -7 |