Atkin-Lehner |
2- 3+ 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
39360bz |
Isogeny class |
Conductor |
39360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-44617236480 = -1 · 216 · 34 · 5 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 -2 4 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65,-10143] |
[a1,a2,a3,a4,a6] |
Generators |
[27:84:1] |
Generators of the group modulo torsion |
j |
-470596/680805 |
j-invariant |
L |
6.2743353629995 |
L(r)(E,1)/r! |
Ω |
0.51438112527026 |
Real period |
R |
3.0494583951276 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999955 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39360bi2 9840g2 118080eu2 |
Quadratic twists by: -4 8 -3 |