Atkin-Lehner |
2- 3- 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
28272j |
Isogeny class |
Conductor |
28272 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
8747604688896 = 214 · 34 · 193 · 312 |
Discriminant |
Eigenvalues |
2- 3- 2 4 6 0 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2341112,1377956820] |
[a1,a2,a3,a4,a6] |
j |
346441988636642533753/2135645676 |
j-invariant |
L |
6.0168695515678 |
L(r)(E,1)/r! |
Ω |
0.50140579596394 |
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 |
3534b2 113088v2 84816q2 |
Quadratic twists by: -4 8 -3 |