Atkin-Lehner |
2- 3+ 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39780h |
Isogeny class |
Conductor |
39780 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
-7637760 = -1 · 28 · 33 · 5 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -2 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,48,36] |
[a1,a2,a3,a4,a6] |
Generators |
[0:6:1] |
Generators of the group modulo torsion |
j |
1769472/1105 |
j-invariant |
L |
4.5220950693838 |
L(r)(E,1)/r! |
Ω |
1.4522094148436 |
Real period |
R |
0.51899023919038 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999967 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39780c1 |
Quadratic twists by: -3 |