Atkin-Lehner |
2- 3- 5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
39780q |
Isogeny class |
Conductor |
39780 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-11766769812720 = -1 · 24 · 311 · 5 · 132 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 5 13- 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5667,-16603] |
[a1,a2,a3,a4,a6] |
Generators |
[109:1377:1] |
Generators of the group modulo torsion |
j |
1725582942464/1008810855 |
j-invariant |
L |
6.8337161119086 |
L(r)(E,1)/r! |
Ω |
0.42140306750225 |
Real period |
R |
0.2252302631281 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13260h1 |
Quadratic twists by: -3 |