Atkin-Lehner |
2- 3- 5- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
81180q |
Isogeny class |
Conductor |
81180 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-5.5832306905606E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 11- -4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1331673,3546024446] |
[a1,a2,a3,a4,a6] |
Generators |
[247:62370:1] |
Generators of the group modulo torsion |
j |
1399422981635151536/29917002585737025 |
j-invariant |
L |
8.6892240657439 |
L(r)(E,1)/r! |
Ω |
0.10123225395193 |
Real period |
R |
1.7882196063403 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003248 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27060c2 |
Quadratic twists by: -3 |