Atkin-Lehner |
5+ 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
39715g |
Isogeny class |
Conductor |
39715 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19680 |
Modular degree for the optimal curve |
Δ |
15166165625 = 55 · 133 · 472 |
Discriminant |
Eigenvalues |
-1 0 5+ 4 -4 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-643,-1894] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:26:1] |
Generators of the group modulo torsion |
j |
13362669117/6903125 |
j-invariant |
L |
3.2322732679672 |
L(r)(E,1)/r! |
Ω |
1.0029019158463 |
Real period |
R |
3.2229206235363 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39715m1 |
Quadratic twists by: 13 |