Atkin-Lehner |
2+ 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344p |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
23094602725588992 = 220 · 33 · 138 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 -4 13+ 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-683436,217344816] |
[a1,a2,a3,a4,a6] |
Generators |
[-936:6084:1] |
Generators of the group modulo torsion |
j |
1033364331/676 |
j-invariant |
L |
5.1930319824545 |
L(r)(E,1)/r! |
Ω |
0.37631726157817 |
Real period |
R |
3.4499028592401 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999916327 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97344dy2 3042i2 97344h2 7488f2 |
Quadratic twists by: -4 8 -3 13 |