Atkin-Lehner |
2- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
1666n |
Isogeny class |
Conductor |
1666 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
163270693922 = 2 · 710 · 172 |
Discriminant |
Eigenvalues |
2- -2 0 7- -2 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1373,-2465] |
[a1,a2,a3,a4,a6] |
j |
2433138625/1387778 |
j-invariant |
L |
1.6973046052892 |
L(r)(E,1)/r! |
Ω |
0.84865230264459 |
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 |
13328u2 53312w2 14994s2 41650l2 |
Quadratic twists by: -4 8 -3 5 |