Atkin-Lehner |
5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
4165g |
Isogeny class |
Conductor |
4165 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
-210644875 = -1 · 53 · 73 · 173 |
Discriminant |
Eigenvalues |
-2 0 5+ 7- -2 3 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,7,698] |
[a1,a2,a3,a4,a6] |
Generators |
[14:-60:1] |
Generators of the group modulo torsion |
j |
110592/614125 |
j-invariant |
L |
1.6079433600017 |
L(r)(E,1)/r! |
Ω |
1.3994043889086 |
Real period |
R |
0.19150330106461 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66640bh1 37485bn1 20825k1 4165k1 |
Quadratic twists by: -4 -3 5 -7 |