Atkin-Lehner |
7- 11- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
17017c |
Isogeny class |
Conductor |
17017 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-40898674817 = -1 · 76 · 112 · 132 · 17 |
Discriminant |
Eigenvalues |
1 0 2 7- 11- 13- 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-931,-14406] |
[a1,a2,a3,a4,a6] |
Generators |
[210:2898:1] |
Generators of the group modulo torsion |
j |
-89296641396873/40898674817 |
j-invariant |
L |
6.6221919745146 |
L(r)(E,1)/r! |
Ω |
0.42279445225147 |
Real period |
R |
2.6104852051432 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119119f2 |
Quadratic twists by: -7 |