Atkin-Lehner |
2+ 3- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
53856j |
Isogeny class |
Conductor |
53856 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1028743524864 = -1 · 29 · 37 · 11 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11+ 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2301,-24010] |
[a1,a2,a3,a4,a6] |
Generators |
[13:90:1] |
Generators of the group modulo torsion |
j |
3609741304/2756193 |
j-invariant |
L |
7.4430782673927 |
L(r)(E,1)/r! |
Ω |
0.48904012609978 |
Real period |
R |
1.9024712569843 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000079 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53856bc2 107712ck3 17952m4 |
Quadratic twists by: -4 8 -3 |