Atkin-Lehner |
2+ 3- 31- |
Signs for the Atkin-Lehner involutions |
Class |
17298i |
Isogeny class |
Conductor |
17298 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2487030265177956 = 22 · 36 · 318 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-178926,29076992] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:6004:1] |
Generators of the group modulo torsion |
j |
979146657/3844 |
j-invariant |
L |
4.1900899088959 |
L(r)(E,1)/r! |
Ω |
0.45988420271146 |
Real period |
R |
4.555592347151 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1922d2 558c2 |
Quadratic twists by: -3 -31 |