Atkin-Lehner |
2+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
45968b |
Isogeny class |
Conductor |
45968 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2856853096448 = 211 · 136 · 172 |
Discriminant |
Eigenvalues |
2+ -2 0 0 2 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8168,-274988] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:34:1] |
Generators of the group modulo torsion |
j |
6097250/289 |
j-invariant |
L |
3.6611336001422 |
L(r)(E,1)/r! |
Ω |
0.50366306841081 |
Real period |
R |
1.8172533533766 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999352 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22984a2 272a2 |
Quadratic twists by: -4 13 |