Atkin-Lehner |
2- 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
17850cj |
Isogeny class |
Conductor |
17850 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
23043234375000 = 23 · 36 · 59 · 7 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 0 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-36138,-2637108] |
[a1,a2,a3,a4,a6] |
j |
2672309557133/11798136 |
j-invariant |
L |
6.2344240014945 |
L(r)(E,1)/r! |
Ω |
0.34635688897191 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53550ci2 17850h2 124950gp2 |
Quadratic twists by: -3 5 -7 |