Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
39984du |
Isogeny class |
Conductor |
39984 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
1065831089922816 = 28 · 3 · 710 · 173 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 6 -5 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-298524,-62859336] |
[a1,a2,a3,a4,a6] |
Generators |
[-3534640315:1182655104:11089567] |
Generators of the group modulo torsion |
j |
40685771728/14739 |
j-invariant |
L |
9.4039887714547 |
L(r)(E,1)/r! |
Ω |
0.20425093925095 |
Real period |
R |
15.347116323253 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9996h2 119952fs2 39984bh2 |
Quadratic twists by: -4 -3 -7 |