Atkin-Lehner |
2- 3- 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
28272i |
Isogeny class |
Conductor |
28272 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
Δ |
99640684659456 = 28 · 310 · 193 · 312 |
Discriminant |
Eigenvalues |
2- 3- 2 4 0 0 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-39092,-2949000] |
[a1,a2,a3,a4,a6] |
j |
25808248194126928/389221424451 |
j-invariant |
L |
5.0975876833155 |
L(r)(E,1)/r! |
Ω |
0.33983917888773 |
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 |
7068c2 113088u2 84816p2 |
Quadratic twists by: -4 8 -3 |