Atkin-Lehner |
3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
81225o |
Isogeny class |
Conductor |
81225 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
8705402899375078125 = 38 · 57 · 198 |
Discriminant |
Eigenvalues |
0 3- 5+ -2 3 4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1406437950,20301539773531] |
[a1,a2,a3,a4,a6] |
j |
1590409933520896/45 |
j-invariant |
L |
1.4688287735294 |
L(r)(E,1)/r! |
Ω |
0.1224023977943 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27075a2 16245a2 81225x2 |
Quadratic twists by: -3 5 -19 |