Atkin-Lehner |
3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
81225bn |
Isogeny class |
Conductor |
81225 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
1547627182111125 = 36 · 53 · 198 |
Discriminant |
Eigenvalues |
-2 3- 5- -4 1 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-305877105,-2059057953394] |
[a1,a2,a3,a4,a6] |
Generators |
[-300814080:-6773:29791] |
Generators of the group modulo torsion |
j |
2045023375454208 |
j-invariant |
L |
1.7025524433546 |
L(r)(E,1)/r! |
Ω |
0.036100466324247 |
Real period |
R |
3.9301256923193 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000521 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9025e2 81225bm2 81225bt2 |
Quadratic twists by: -3 5 -19 |