Atkin-Lehner |
2+ 3- 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
38640o |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-1.6799965799904E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 6 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,484224,-148393260] |
[a1,a2,a3,a4,a6] |
j |
6131006771007815422/8203108300734375 |
j-invariant |
L |
2.3399852319346 |
L(r)(E,1)/r! |
Ω |
0.1169992615965 |
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 |
19320p2 115920bn2 |
Quadratic twists by: -4 -3 |