Atkin-Lehner |
2+ 3+ 23+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
40296a |
Isogeny class |
Conductor |
40296 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-10166197248 = -1 · 210 · 34 · 23 · 732 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 -2 -6 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,272,4444] |
[a1,a2,a3,a4,a6] |
Generators |
[25:162:1] |
Generators of the group modulo torsion |
j |
2165373500/9927927 |
j-invariant |
L |
4.8044451384277 |
L(r)(E,1)/r! |
Ω |
0.92272635014936 |
Real period |
R |
2.6033965203501 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80592j2 120888l2 |
Quadratic twists by: -4 -3 |