Atkin-Lehner |
2- 3+ 5- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
39840i |
Isogeny class |
Conductor |
39840 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-249000000000000 = -1 · 212 · 3 · 512 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 -4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19505,1301025] |
[a1,a2,a3,a4,a6] |
Generators |
[645:16020:1] |
Generators of the group modulo torsion |
j |
-200365937932096/60791015625 |
j-invariant |
L |
6.0326442343671 |
L(r)(E,1)/r! |
Ω |
0.52496067897109 |
Real period |
R |
3.8305372040366 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
39840n2 79680bs1 119520i2 |
Quadratic twists by: -4 8 -3 |