Atkin-Lehner |
2- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
17200y |
Isogeny class |
Conductor |
17200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-318028000000 = -1 · 28 · 56 · 433 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 3 1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1667,-6537] |
[a1,a2,a3,a4,a6] |
Generators |
[163:2150:1] |
Generators of the group modulo torsion |
j |
128000000/79507 |
j-invariant |
L |
2.7251122066934 |
L(r)(E,1)/r! |
Ω |
0.55729305366024 |
Real period |
R |
0.40749239991348 |
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 |
4300b2 68800da2 688b2 |
Quadratic twists by: -4 8 5 |