Atkin-Lehner |
5+ 7+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
7735a |
Isogeny class |
Conductor |
7735 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2208 |
Modular degree for the optimal curve |
Δ |
-1895075 = -1 · 52 · 73 · 13 · 17 |
Discriminant |
Eigenvalues |
-1 3 5+ 7+ -1 13+ 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18,-68] |
[a1,a2,a3,a4,a6] |
j |
-611960049/1895075 |
j-invariant |
L |
2.1489787516093 |
L(r)(E,1)/r! |
Ω |
1.0744893758047 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123760bd1 69615p1 38675o1 54145ba1 |
Quadratic twists by: -4 -3 5 -7 |