Atkin-Lehner |
2- 3+ 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39780d |
Isogeny class |
Conductor |
39780 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
197641504580832000 = 28 · 39 · 53 · 13 · 176 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 0 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-189783,23561982] |
[a1,a2,a3,a4,a6] |
Generators |
[206345784414:-9244672261525:98611128] |
Generators of the group modulo torsion |
j |
150025256088048/39223549625 |
j-invariant |
L |
5.9365651776234 |
L(r)(E,1)/r! |
Ω |
0.29728475119179 |
Real period |
R |
19.969289221268 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39780i2 |
Quadratic twists by: -3 |