Atkin-Lehner |
2- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
1666k |
Isogeny class |
Conductor |
1666 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
962963888642 = 2 · 78 · 174 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 0 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-25906,1610655] |
[a1,a2,a3,a4,a6] |
Generators |
[702:331:8] |
Generators of the group modulo torsion |
j |
16342588257633/8185058 |
j-invariant |
L |
3.649729104265 |
L(r)(E,1)/r! |
Ω |
0.8688597049372 |
Real period |
R |
2.1002982895431 |
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 |
13328p3 53312n4 14994bf3 41650p4 |
Quadratic twists by: -4 8 -3 5 |