Atkin-Lehner |
2- 3+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
56628c |
Isogeny class |
Conductor |
56628 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2069410007808 = 28 · 33 · 116 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 4 -4 11- 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-327063,71993790] |
[a1,a2,a3,a4,a6] |
j |
315978926832/169 |
j-invariant |
L |
2.7133151150832 |
L(r)(E,1)/r! |
Ω |
0.67832877890282 |
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 |
56628d2 468a2 |
Quadratic twists by: -3 -11 |