Atkin-Lehner |
2- 3+ 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
39780c |
Isogeny class |
Conductor |
39780 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-5567927040 = -1 · 28 · 39 · 5 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 2 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,432,-972] |
[a1,a2,a3,a4,a6] |
Generators |
[18:27:8] |
Generators of the group modulo torsion |
j |
1769472/1105 |
j-invariant |
L |
4.3509927984949 |
L(r)(E,1)/r! |
Ω |
0.77970706965964 |
Real period |
R |
2.7901457917974 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39780h1 |
Quadratic twists by: -3 |