Atkin-Lehner |
2- 3+ 5- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
39780i |
Isogeny class |
Conductor |
39780 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
271113175008000 = 28 · 33 · 53 · 13 · 176 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 0 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21087,-872666] |
[a1,a2,a3,a4,a6] |
Generators |
[1314:2465:8] |
Generators of the group modulo torsion |
j |
150025256088048/39223549625 |
j-invariant |
L |
7.0351200829061 |
L(r)(E,1)/r! |
Ω |
0.4038691441429 |
Real period |
R |
5.8064352319155 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
39780d4 |
Quadratic twists by: -3 |